In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answers

Answer 1

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.


Related Questions

Graph a rectangle on the coordinate plane with an area of 250 ft^2. Pretend 1 unit=10 feet.

Answers

Answer:

turn the 10 to 5 and divide 250 by 2 which will give you your l and w subract 2 from your l and add 2 to your  your w

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the area is to be 250 ft^2, one possible set of dimensions would be

25 ft by 10 ft.

If 1 unit on the coordinate plane represents 10 feet, then the dimensions of the drawing would be 2.5 units by 1 unit.

Can someone help me solve parts (a) and (c) please? Thank you!

Answers

a) 4x +6

Add up all the sides to calculate perimeter

Answer:

a) 6x + 6

b) 15 x 24

c) see explanation

Step-by-step explanation:

a) 2x + x + 3 + 2x + x + 3 = 6x + 6

b) 6x + 6 = 78

6x = 72

x = 12

2(12) = 24

(12) + 3 = 15

15 x 24

c) 2x(x + 3) = 2x² + 6x

2(12)² + 6(12) = 288 + 72 = 360

15 x 24 is also 360

Find the conjugate of 2 - 5i and then calculate the product of the given complex number and its conjugate. (1 point)

Answers

Answer:

29

Step-by-step explanation:

conjugate of a+ib=a-ib

conjugate of 2-5i=2+5i

(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29

Answer:

29

i had the same question and 29 was the right answer

There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?

Answers

[tex]_{10}C_3=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot 3}=120[/tex]

Question :-

There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?

Answer :-

The coach can choose 3 of the 10 students in 120 ways.

[tex] \rule{200pt}{3pt}[/tex]

Combinations refers to the number of ways of selecting from a set when the order is not important. The number of combinations of n objects taken r at a time is given by [tex]\sf C(n, r) = \dfrac{n!}{(n - r)!r!}, n \geqslant r[/tex].

Solution :-

As per the provided information in the given question, we have been given that the number of combinations of 10 students taken 3 at a time. We have been asked to calculate the ways that she can choose 3 of the 10 students.

To calculate the ways that she can choose 3 of the 10 students, we will apply the formula below :-

[tex] \qquad \bigstar \: \: \: \boxed{ \sf{ \: \: C(n, r) = \dfrac{n!}{(n - r)!r!} \: \: }}[/tex]

Substitute the given values into the above formula and solve for C:

[tex]\sf:\implies{ C(n, r) = \dfrac{n!}{(n - r)!r!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{(10 - 3)!3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{7!3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8 \cdot \cancel{7!}}{ \cancel{7!}3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8}{3 \cdot 2}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{720}{6}}[/tex]

[tex]\sf:\implies \bold{ C(10, 3) = 120 \: ways}[/tex]

Therefore :-

The coach can choose 3 of the 10 students in 120 ways.

[tex]\\[/tex]

Learn more about combinations at https://brainly.com/question/11955073

Have a great day! <33

A conveyor belt carries supplies from the first floor to the second floor, which is 21 feet higher. The belt makes a 60° angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?

Answers

Hey there! I'm happy to help!

LENGTH OF CONVEYOR BELT

We are going to have to use some trigonometry. Let's think of this as a right triangle. The conveyor belt is the diagonal or the hypotenuse, while the ground is  and the height of the room make a right angle as the legs.

We have a sixty degree angle between the conveyor belt and the ground. This is means that the 21 foot height is the opposite side of our right triangle. So, we are dealing with the opposite and the hypotenuse, so we will use the sine. The sine of an angle is equal to the opposite length divided by the hypotenuse length.

We will set up the following equation and solve for the length of our conveyor belt (c).

[tex]sin60=\frac{21}{c}[/tex]

We multiply both sides by c.

[tex]c(sin60)=21[/tex]

We divide both sides by sin60.

[tex]c=\frac{21}{sin60}[/tex]

If we evaluate this with a calculator, we get that c is equal to 24.2487113..., or 24 when rounded to the nearest foot.

So, the supplies travel 24 feet from one end to the other.

DURATION OF TRAVEL

We want to find how long it takes the supplies to move across the conveyor belt. We see that every minute, it moves 75 feet. We want to see how many minutes it will take to move 24 feet, as that is the length of the conveyor belt as we previously solved. Let's set up a proportion.

[tex]\frac{feet}{minute} =\frac{75}{1} =\frac{24}{m}[/tex]

We cross multiply, giving us the following equation.

75m=24

We divide both sides by 75.

m=0.32

We want to round to the nearest tenth of a minute, so it will take 0.3 minutes for the supplies to move to the second floor.

Have a wonderful day! :D

Find the measure of each side indicated. Round to the nearest tenth.

A) 19.8
C) 24.9
B) 27.2
D) 25.3

Answers

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

Answer:

[tex]\huge\boxed{x = 25.3}[/tex]

Step-by-step explanation:

Tan θ = opposite / adjacent

Where θ = 66.5 , opposite = x and adjacent = 11

Tan 66.5 = x / 11

2.3 * 11 = x

25.3 = x

OR

x = 25.3

90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.

Answers

Answer:

area of polygon = 88 sq. units

Step-by-step explanation:

lets make it simple, short and accurate.

area of polygon = total area - total area of triangles

total area = 11 * 12 = 132

triangle 1 = 1/2 * 5 * 5 = 12.5

triangle 2 = 1/2 * 3 * 6 = 9

triangle 3 = 1/2 * 3 * 8 = 12

triangle 4 = 1/2 * 3 * 7 = 10.5

total area of triangle = 12.5 + 9 + 12 + 10.5 = 44

area of polygon = 132 - 44 = 88 sq. units

Answer:

The area of the irregular polygon:

88 units²

Step-by-step explanation:

The irregular polygon is insert in a rectangle

The strategy is:

1 - calculate the rectangle total area

2- calculate the area of each right triangle

3.- substracte the total area of the 4 right triangles from the area of the rectángule

then:

1.-

Ar = 12*11 = 132 units²

Ar = rectangle area

2.-

At₁ = (5*5)/2 = 25/2 = 12.5 units²

At₂ = (6*3)/2 = 18/2 = 9 units²

At₃ = (7*3)/2 = 21/2 = 10.5 units²

At₄ = (8*3)/2 = 24/2 = 12 units²

At total = 12.5 + 9 + 10.5 + 12 = 44 units²

At = right triangle areas

3.-

Ap = 132 - 44 = 88 units²

Write rhe set of decimals in order from least to greatest. A) 9.3,3.09,3.9,3.011​

Answers

Answer:

The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3

Step-by-step explanation:

The arrangement of decimals in order from smallest to largest can be done by  taking note of the  digit in the unit portion, the tenths, hundredths and thousandths.

The numbers are;

9.3

3.09

3.9

3.011

The largest number is the 9.3

Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;

Therefore, the least (lowest) number = 3.011

The next is the 3.09 as 0.09 is larger than 0.011

Then the second number is 3.9

The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.

A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)

Answers

Answer:

176m²

Step-by-step explanation:

When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.

Step 1

Find the Outer surface area of the cone

Outer / Lateral surface area of a cone =

πrl

Where l = √r² + h²

r = 4 m

h = 3m

Outer surface area = 22/7 ×√4² + 3²

= 22/7 × √16 + 9

= 22/7 × √25

= 22/7 × 5

= 62.83185m²

Step 2

Find the outer surface area of a cylinder

= 2πrh

π = 22/7

r = 4m

h = 4.5

π = 22/7

Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5

= 113.09734m²

Step 3

The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder

= 62.83185m² + 113.09734m²

= 175.92919m²

Approximately ≈ 176m²

Therefore, the outer surface area of the tent = 176m²

Please help Describe a way that you can remember the elements of the reflection matrices if you forget where the 1s, -1s, and 0s belong.

Answers

Step-by-step explanation:

Multiplying the vertex matrix with the matrix gives us a reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis.  

It can also be reflect by  90 degree or by 180 degree.

So, one way to remember the elements is by multiplying the given matrix by a unit matrix. And on the other hand you can remember the elements remembering by what degree we are reflecting the matrix. This way makes it easier to remember the elements.

The explanation regarding the elements of the reflection is explained below:

The following information should be considered:

In the case when we Multiply the vertex matrix with the matrix so it provides the reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis.  It can also be reflect by 90 degree or by 180 degree.

Learn more: https://brainly.com/question/17961582?referrer=searchResults

Please help!!

can you explain how to do it cause my teacher didnt show us.


math question- If the spinner below is spun 500 times, then how many times could you expect to spin a D

thank you for you trying or helping!!​

Answers

Answer:

500×4 =2400 I think would help u

It’s only 1 d that’s on the diagram
You times that by 500

500x1=500

Hope it helps ❄️

Find the value of x. Round to the nearest tenth.

15.9
12.4
12.8
16.3

Answers

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 28 = 14/x

x  cos 28 = 14

x = 14 / cos 28

x=15.85598

Rounding to the nearest tenth

x = 15.9

Help! Will give brainliest.

Answers

Answer:

A. You can see which shape the bases are, how many bases there are, how many faces there are, and how many edges there are.

B. The bases are ABC and DEF, and I know because they are two congruent triangles on two opposite sides of the shape.

A) the figure is a triangular prism because there are two parallel triangle bases (ABC and EDF) connected by three rectangular sides.

B) The two bases are ABC and EDF because these are the two triangular bases.

What is 12.5% of 72

Answers

Answer:

[tex]\boxed{9}[/tex]

Step-by-step explanation:

[tex]\sf of \ refers \ to \ multiplication.[/tex]

[tex]12.5\% \times 72[/tex]

[tex]\frac{12.5}{100} \times 72[/tex]

[tex]\sf Multiply.[/tex]

[tex]\frac{900}{100} =9[/tex]


Helpppp pleaseee!!! Thank you

Answers

The answer is 480. Because you times 200 by 6, you also times the number of male elephants with tusks (80) by 6. That means the answer is 480.

Rewrite the linear equation in general form: y+6= -5/2(x+4)

Answers

Y= -5/2(x+4) -6
Y=-5/2x -10 -6
Y= -5/2x -16
2(y= -5/2x -16)
2y= -5x -8
-5x -2y -8 = 0

Did this I while back, not really sure if the answer is right but hope this helps :)

Answer:

5x+2y = -32

Step-by-step explanation:

[tex]The \:standard \: form \:of \: a \:linear \: equation \: is \: Ax+By=C.\\\\Multiply \:both \:sides \:by \:2\\\\2(y+6)=2(\frac{-5}{2}(x+4)) \\\\Simplify\\\\2y+12=-5x-20\\2y+5x=-20-12\\\\2y+5x=-32\\\\Rewrite\:in \:Ax+By+C\:form\\\\= 5x+2y=-32[/tex]

Write a number sentence that
illustrates the associative property
of addition,
Please, someone help.

Answers

Answer:

ok so

faf

Step-by-step explanation:

Factor 20x2 + 25x – 12x – 15 by grouping.

1. Group terms with common factors.

2. Factor the GCF from each group.

3. Write the polynomial as a product of binomials.

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(5x – 3)(

x +  

)

The associative property of addition is where you can add three numbers together, and rearrange them, but the outcome does not change

For example:
4+(6+3)=6+(3+4)

The numbers were rearranged but the sum doesn't change.

what are the factors of 47 (cuz im STUPID and i dont feel like doing this cuz im working on geogrophy)

Answers

Hey there! I'm happy to help!

The factors are the numbers you multiply to get 47. And they can't be fractions or numbers with fractions. They have to be integers (numbers without fractions).

So far, we see that we can multiply 1 and 47 to get 47. To see if there are any more, we see what numbers 1-10 we can divide by.

We cannot divide by 2 because 47 is odd.

We cannot divide by 3 because it gives us 15.6666...

We can't divide by 4 because 47 is odd.

We can't divide by 5 because 47 does not have a 5 or 0 in the ones place.

We can't divide by 6 because 47 is odd.

We can't divide by 7 because it gives us 6.714285....

We can't divide by 8 because 47 is odd.

We can't divide by 9 because it gives us 5.2222

And we obviously can't divide it by 10.

Therefore, the factors of 47 are 1 and 47. A number whose only factors are 1 and itself is called a prime number.

I hope that this helps! Have a wonderful day! :D

Answer: 47 is a prime number

The exponent of prime number 47 is 1 . Adding 1 to that exponent we get (1+1)=2

Factor of 47: 1, 47

With which set of information can you construct a unique triangle?
OA the measurements of all the angles
ОВ.
the lengths of two sides
OC. the measurements of two angles
OD. the lengths of all the sides
OE the measurement of one angle

Answers

Answer:

D

Step-by-step explanation:

This would be using the SSS.

Which means knowing three sides.

The other options do not relate to any of the SSS, SAS, ASA, RHS

Hope that helped!!! k

Please answer this question now

Answers

Answer:

AB = 72°

Step-by-step explanation:

The inscribed angle ADC is half the measure of its intercepted arc, thus

56° = [tex]\frac{1}{2}[/tex] ( m ABC ) ← multiply both sides by 2

112° = ABC

ABC = AB + BC = AB + 40, so

AB + 40 = 112 ( subtract 40 from both sides )

AB = 72°

5y-5y^2-5+2+2y+3y^2-1

Answers

Answer:

7y - 2y² - 4

Step-by-step explanation:

5y - 5y² - 5 + 2 + 2y + 3y² - 1

5y + 2y - 5y² + 3y² - 5 + 2 - 1   (combine like terms)

7y - 2y² - 4

If 3 cats catch 3 mice in 3 minutes, how long will it take 100 cats to catch 100 mice?

Answers

Answer:

100 minutes

Step-by-step explanation:

It takes each of the 3 cats about 1 minute to catch one mouse. If the same goes for the 100 cats, it will take them 100 minutes to catch 100 mice.

Hope that helps.

Answer:

3 min  

Step-by-step explanation:

These are all independent actions.

If you put 1 cat in a room with 1 mouse, it will take 3 min to catch the mouse.

If you put 2 cats in a room with 2 mice, they will act independently and it will take 3 min for each one to catch a mouse.

If you put 3 cats in a room with 3 mice, they will act independently and it will take 3 min for each one to catch a mouse.

If you put 100 cats in a room with 100 mice, they will act independently and it will take 3 min for each one to catch a mouse.

Each cat will finish at the same time — 3 min.

 

Show that the equations x^2-7x+6=0 and y^2-14y+40=0 form a rectangle.Also find the joint equations of diagonals.

Answers

Answer:

1) The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The joint equations of diagonals are;

5·y = 56 - 6·x and 5·y = 6·x + 14.

Step-by-step explanation:

The equations are;

x² - 7·x + 6 = 0......................(1)

y² - 14·y + 40 = 0.................(2)

Factorizing equation (1) and equation (2) , we get

x² - 7·x + 6 = (x - 6)·(x - 1) = 0

Which are vertical lines at points x = 6 and x = 1

For equation (2) , we get

y² - 14·y + 40 = (y - 10)·(y - 4) = 0

Which are horizontal lines at point y = 4 and y = 10

The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The points of intersection of the equations are;

(1, 4), (1, 10), (6, 4), and (6, 10)

The end point of the diagonals are;

(1, 10), (6, 4) and  (1, 4), (6, 10)

The slope of the diagonals are;

(10 - 4)/(1 - 6) = -6/5 and (4 - 10)/(1 - 6) = 6/5

The equation of one of the diagonals are then, y - 10 = -6/5×(x - 1)

y = -6/5·x + 6/5 + 10 = -6/5·x + 56/5

5·y = 56 - 6·x

The other diagonal is therefore;

y - 4 = 6/5×(x - 1)

y = 6/5·x - 6/5 + 4 = 6/5·x + 14/5

5·y = 6·x + 14.

The joint equations of diagonals are therefore;

5·y = 56 - 6·x and 5·y = 6·x + 14.

What is the sign of -xy? Will give the brainlest to who ever answers it

Answers

Answer:

positive

Step-by-step explanation:

X is positive since it is to the right of zero

Y is negative since it is to the left of zero

-xy

- ( +) ( -)

negative times positive times negative

negative times negative

positive

Calculate YZ if WY = 25, XY = 23, and VZ = 35

Answers

Answer:

WY= 25

XY= 23

VZ=36

so,

WY/XY = YZ/VZ

25/23 = YZ/25 (then do cross multiply)

25×25 = 23 × YZ

625= 23 × YZ

625/23= YZ

27,17= YZ

#i'm indonesian

#hope it helps.

Answer:

[tex]\huge \boxed{13.04}[/tex]

Step-by-step explanation:

The triangles are congruent, we can use ratios to solve.

WY/XY = (WY+YZ)/VZ

Let the length of YZ be x.

25/23 = (25+x)/35

Cross multiply.

23(25+x) = 25 × 35

575 + 23x = 875

Subtract 575 from both sides.

575 + 23x - 575 = 875 - 575

23x = 300

Divide both sides by 23.

(23x)/23 = 300/23

x = 13.0434782609...

Simplify.
-4a(3a - 6)

Answers

First change the -6 to plus a negative 6.

Then distribute the -4a through the parentheses.

So we have -4a(3a) + -4a(-6).

Remember that -4a(3a) is -12a² and -4a(-6) is 24a.

So the answer is -12a² + 24a.

Answer:

-12a^2 +24a

Step-by-step explanation:

-4a(3a - 6)

Distribute

-4a*3a -4a * -6

-12a^2 +24a

A bag contains five tokens numbered 2, 3, 6, 7, and 8. Two tokens are taken in succession out of the bag without replacement. A) Create the probability distribution for "x" being the number of odd numbered tokens drawn. B) What is mean and variance of the probability distribution?

Answers

Answer and Step-by-step explanation:

A) Probability of taken two odd numbered token without replacement:

P(3) = 2/5 = 0.4

P(7) = 1/4 = 0.25

Construct a probability distribution:

 X          3          7

p(X)      0.4      0.25

B) Mean of the probability distribution:

E(X) = ∑xp

E(X) = 3*0.4 + 7*0.25

E(X) = 2.95

Variance of the probability distribution:

V(X) = [tex]\Sigma X^{2}p - [E(X)]^{2}[/tex]

V(X) = [tex]3^{2}*0.4+7^{2}*0.25 - (2.95)^{2}[/tex]

V(X) = 7.1475

Mean and variance of the probability distribution are 2.95 and 7.145, respectively.

The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4. Using the given data, find the mean, median, and mode for this sample. A. mean: 10, median: 8, mode: none B. mean: none, median: 8, mode: 10 C. mean: 8, median: 10, mode: none D. mean: 14, median: 10, mode: 8

Answers

Answer: A. mean: 10, median: 8, mode: none

Step-by-step explanation:

Given : The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4.

First we arrange it order.

3, 4, 5, 8, 11, 17, 22

Mean = (Sum of observations) ÷ (Number of observations)

Number of observations = 7

Sum of observations = 3+4+5+8+11+17+22 =70

Mean = 70 ÷7 = 10

Median = Middle-most value

= 8

Mode = Most repeatted value

= none

Hence, the mean, median, and mode for this sample = A. mean: 10, median: 8, mode: none

I am unable to find the answer to this pleas help me

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] of 600 is 150

hope this helps

plz mark as brainliest!!!!!!

The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.

Answers

Answer: D. The quadratic function has two distinct real zeros.

There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.

This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.

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Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today -5/6 + 1 2/9Can some one help me out? PLEASE HELPPP!!!!! The world on the turtles back What does the world on the turtles back suggest about the relationship between humans and animals? Be specific. 15 POINTS! The upper-left coordinates on a rectangle are (-1,4), and the upper-right coordinates are (3,4). The rectanglehas a perimeter of 24 units.Draw the rectangle on the coordinate plane below. A skydiver falls toward the ground at a constant velocity. Which statement best applies Newtons laws of motion to explain the skydivers motion? An upward force balances the downward force of gravity on the skydiver. The skydivers inertia is zero, which no longer allows for acceleration. An unbalanced force pulls the skydiver toward the ground. The mass of the skydiver is so great that there is no acceleration. Two elements represents by the letter Q and R atomic number 9 and 12 respectively. Write the electronic configuration of R Why should you include weight training as part of your exercise routine?1. to increase muscle massII. to increase bone densityIII. to increase flexibility State what is meant by the terms: Parallel data transmission ......................................................................................................... ................................................................................................................................................... ................................................................................................................................................... Serial data transmission ........................................................................................................... ................................................................................................................................................... ................................................................................................................................................... A caterer needs to know the volume of the remaining cake to determine how many servings she has. What is the volume of the remaining cake? A developer is proposing to build and operate an 8 store strip mall. Each unit would rent for $3,500 per month. It is expected that vacancy would run at 15% and that the expenses would be 17.5%. The loan is to be 75% of the capitalized value. The developer has an MARR of 12.5%, the bank is charging 8.5% interest, and the Long Term Debt Service is a constant 9%. To assess the financial worth of this endeavor, determine the following:a. CAP Rateb. Capitalized valuec. Loan amountd. Debt Service Coverage Ratioe. Loan per unit I NEED HELP!! which expression is the radical form of x - 9/8 Capitalism is an economic system in which private property, markets, and firms play an important role. Based on this definition, which of the following statements is correct?A. An economic system is a way of organising the production and distribution of goods and services in an entire economy. B. The knowledge you attain from the CORE program is a private property. C. Forced labor where the workers receive some daily allowance is a market. D. Employee owned cooperatives are not firms. Three educational value of sports? Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3. Carter & Carter is considering setting up a regional lockbox system to speed up collections. The company sells to customers all over the U.S., and all receipts come in to its headquarters in San Francisco. The firm's average accounts receivable balance is $2.5 million, and they are financed by a bank loan at an 11% annual interest rate. The firm believes this new lockbox system would reduce receivables by 20%. If the annual cost of the system is $15,000, what pre-tax net annual savings would be realized? a. $32,400 b. $29,160 c. $40,000 d. $44,000 e. $36,000 Assume that the following are independent situations recently reported in the Wall Street Journal. a. General Electric (GE) 7% bonds, maturing January 28, 2018, were issued at 110.30. b. Boeing 7% bonds, maturing September 24, 2032, were issued at 98.15.Required:a. Were GE and Boeing bonds issued at a premium or a discount?b. The General Electric bonds were issued at a___________ and the Boeing bonds were issued at a__________ What does the underlined word mean in the following sentence? Me gusta mucho manejar. to travel to rest to drive to turn