how many solutions are in -2x+3 = -2x+3

Answers

Answer 1

Answer:

Infinite Solutions

Step-by-step explanation:

If the two equations are the same (as they are here), the amount of solutions would be infinite. I hope this helps!


Related Questions

Help pls part b is how many batches of jam can the farmer make

Help pls part b is how many batches of jam can the farmer make

Answers

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Is 2x - 3 = -7 x + 2 > y a true or false statement?

Answers

For your question the answer is false

Which statement best compares the graphs of y = –3xn and y = 3xn?

Which statement best compares the graphs of y = 3xn and y = 3xn?

Answers

Answer: choice B

Step-by-step explanation:

The graph of y=-3x^n is the reflection of the graph of y=3x^n about the x-axis.

Answer: B

Step-by-step explanation:

Which statement best compares the graphs of y = 3xn and y = 3xn?

Can someone do #4 and #5

Can someone do #4 and #5

Answers

Answer:

First, find two points on the graph:

(x₁, y₁) = (0, 2)(x₂, y₂) = (2, 8)

Slope = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3\)

16 + (-3) = 16 - 3 = 13

Miss Mia needed to pack 7370 pencils for children's day. She packed some penils on Monday and 4228 pencils on Tuesday. She found that she still needed to pack 340 pencils more. How many pencils did she pack on Monday?​

Answers

I think the answer is 2802 pencils

What do we put in the first boxes

Answers

Answer:

What BOXES?

Step-by-step explanation:

Galaxy Star Corporation purchased goods for $100,000 from Sunrise
Materials. Galaxy Star Corporation can avail a discount of 2.5% if the
payment is made within 20 days. However, the full payment will be made
if the payment is made after 20 days.
If Galaxy Star Corporation pays within 20 days, which of the
following entries will it pass?

Answers

The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

What is a credit sale?

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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5/4 hour = __ minutes

Answers

Answer:

hour= 1.25

MINUTES ANSWER= 75 minutes

Step-by-step explanation:

hope that helps>3

Answer:

5/4 hour= 75 minutes

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

\(\textbf{HOPE IT HELPS}\)

\(\textbf{HAVE A GREAT DAY!!}\)

please helppp!!! thank you!

please helppp!!! thank you!

Answers

The number line that shows the solution to the inequality is given as follows:

First number line.

How to solve the inequality?

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

What is an inequality?

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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can you show how to find the solution of number 12 on a unit circle

can you show how to find the solution of number 12 on a unit circle

Answers

Given:

Given that a unit circle.

Required:

To find the value of

\(\sin9\pi\)

Explanation:

The given circle is a unit circle.

The value of sin 9pi can be calculated by constructing an angle of 9π radians with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle.

The value of sin 9pi is equal to the y-coordinate (0).

Therefore,

\(\sin9\pi=0\)

Final Answer:

\(\sin9\pi=0\)

can you show how to find the solution of number 12 on a unit circle

Use traditional division to solve 6,432 divided 24

Answers

Answer:

268

Step-by-step explanation:

Answer: 268

Step-by-step explanation:

If this helped you please put a thanks and review?!

What is (1+3)squared -10 divided by 2

Answers

Answer:

11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3)² - 10 ÷ 2

Step 2: Evaluate

(Parenthesis) Add:                                                                                            4² - 10 ÷ 2Exponents:                                                                                                        16 - 10 ÷ 2Divide:                                                                                                               16 - 5Subtract:                                                                                                            11

Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2
units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6

Answers

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2,   the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4   or call it

g(x) = (x-3)^2 + 4  if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.

MATH

Systems of Linear Equations

1. Determine if each system of equations below is linear or nonlinear.

A. -9x+8y = 9x 7y+8=8x

Linear or nonlinear?

D. 6y+x=12 y-x=1-x

B.

2.3y+1.2x = 0

1.1x+0.1y 1.2

C.

2 7-3y=- 2x+9= 3y

Linear or nonlinear?

Linear or nonlinear?

E. 45x + y = 12 y+x² = 1-x²

Linear or nonlinear?

G

0.2x+9.1y9.1√x

7x+1=8√y

Linear or nonlinear?

F. x+8y = 81 x-7y = 32

Linear or nonlinear?

H.

98317y= 1010 + 2965x

-71389y=5692x - 1001

3 xx y-5= 1 zy+3x=-21

Linear or nonlinear?

Linear or nonlinear?

Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:

MATHSystems of Linear Equations1. Determine if each system of equations below is linear or nonlinear.A.
MATHSystems of Linear Equations1. Determine if each system of equations below is linear or nonlinear.A.

Answers

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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SCALCET8 3.9.017.MI. Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later

Answers

Answer:

The rate at which the distance between the cars increasing two hours later=52mi/h

Step-by-step explanation:

Let

Speed of one car, x'=48 mi/h

Speed of other car, y'=20 mi/h

We have to find the rate at which the distance between the cars increasing two hours later.

After 2 hours,

Distance traveled by one car

\(x=48\times 2=96 mi\)

Using the formula

\(Distance=Time\times speed\)

Distance traveled by other car

\(y=20\times 2=40 mi\)

Let z be the distance between two cars after 2 hours later

\(z=\sqrt{x^2+y^2}\)

Substitute the values

\(z=\sqrt{(96)^2+(40)^2}\)

z=104 mi

Now,

\(z^2=x^2+y^2\)

Differentiate w.r.t t

\(2z\frac{dz}{dt}=2x\frac{dx}{dt}+2y\frac{dy}{dt}\)

\(z\frac{dz}{dt}=x\frac{dx}{dt}+y\frac{dy}{dt}\)

Substitute the values

\(104\frac{dz}{dt}=96\times 48+40\times 20\)

\(\frac{dz}{dt}=\frac{96\times 48+40\times 20}{104}\)

\(\frac{dz}{dt}=52mi/h\)

Hence, the rate at which the distance between the cars increasing two hours later=52mi/h

A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?

Answers

Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:

\(P(X = 1) = 0.1111\)

\(P(X = 2) = 0.2222\)

\(P(X = 3) = 0.1111\)

\(P(X = 4) = 0.2222\)

\(P(X = 5) = 0.1111\)

\(P(X = 6) = 0.2222\)

The symbolic distribution is:

\(P(X = 1) = y\)

\(P(X = 2) = x\)

\(P(X = 3) = y\)

\(P(X = 4) = x\)

\(P(X = 5) = y\)

\(P(X = 6) = x\)

The sum of all probabilities is 1, hence:

\(3x + 3y = 1\)

Simplifying by 3:

\(x + y = 0.3333\)

\(y = 0.3333 - x\)

2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:

\(x = 2y\)

\(x = 2(0.3333 - x)\)

\(3x = 0.6667\)

\(x = \frac{0.6667}{3}\)

\(x = 0.2222\)

Then:

\(y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111\)

Hence, the distribution is:

\(P(X = 1) = 0.1111\)

\(P(X = 2) = 0.2222\)

\(P(X = 3) = 0.1111\)

\(P(X = 4) = 0.2222\)

\(P(X = 5) = 0.1111\)

\(P(X = 6) = 0.2222\)

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Complete the sentence to describe the triangle shown.

GHI is _____ and _____.

Answers

GHI is GH and HI because of the congruency in the 180° triangle

I need all solved, As soon as possible Question 1

I need all solved, As soon as possible Question 1

Answers

Given:

\(f(x)=3^x\)

To find:

The type of function by completing the table and graphing the function

Explanation:

When x = -2,

\(\begin{gathered} y=3^{-2} \\ =\frac{1}{3^2} \\ =\frac{1}{9} \\ =0.11 \end{gathered}\)

When x = -1,

\(\begin{gathered} y=3^{-1} \\ =\frac{1}{3} \\ =0.33 \end{gathered}\)

When x = 0,

\(\begin{gathered} y=3^0 \\ =1 \end{gathered}\)

When x = 1,

\(\begin{gathered} y=3^1 \\ =3 \end{gathered}\)

When x = 2,

\(\begin{gathered} y=3^2 \\ =9 \end{gathered}\)

Therefore, the table values are,

Then, the graph will be,

Since the domain of the function is real numbers and the range of the function is a set of positive real numbers.

Therefore, it is an exponential function.

I need all solved, As soon as possible Question 1
I need all solved, As soon as possible Question 1

At a real estate​ agency, an agent sold a house for ​$341,000. The commission rate is 4.5​% for the real estate agency and the commission rate for the agent is ​20% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.

What is an amount?

aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.

Here,

The real estate company has a 4.5% commission rate,

which means they get paid 4.5% of the house's sale price:

=> 4.5% of $341,000 divided by the agency's commission results in

=> $15,345 ($0.045 x $341,000).

Hence, the residence brought in $15,345 for the real estate company.

We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.

Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:

=> 20% of $15,345 divided by the agent's commission

=>  0.2 times $15,345 =  ($3,069).

As a result, the agent received $3,069 in commission.

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Select the correct answer. Simplify the following expression. ​

Select the correct answer. Simplify the following expression.

Answers

The simplified exponential expression for this problem is given as follows:

D. 1/49.

How to simplify the exponential expression?

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)


When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.

Answers

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical

Find the slope of the line containing the given points.f​(2​)=5 and ​f(4​)=−5

Answers

put -5 in 5 postion for the second and 5 for the first

Step-by-step explanation:

HELP MEEEEEE A florist has 8 tulips and 6 carnations. If the florist wants to create identical bouquets without any leftover flowers, what is the greatest number of bouquets the florist can make?

Answers

Answer:

She can make 2 bouquets

Step-by-step explanation:

Divide 8 and 6 by two.

8/2= 4

6/2= 3

she can only make two identical bouquets without any flowers left over

what the dog doing ?

Answers

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

The radius of a circle is 7 inches. What is the circle's circumference?
Use 3.14 for ​

Answers

Answer:

43.96

Step-by-step explanation:

2 x 7 x 3.14 = 43.96

Answer:

44 rounded to nearest whole.

\(C = 2\pi r = 2 * \pi * r(7) = 44~in\)

HELP ME PLEASE VERY URGENT QUESTION IN PHOTOOOOO

HELP ME PLEASE VERY URGENT QUESTION IN PHOTOOOOO

Answers

Answer:

33% is the correct answer I took the test!

Step-by-step explanation:

mark me brainliest!!

On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?

Answers

Answer:

Revenue=$6000

Step-by-step explanation:

A = PRT

100

A= (10,000×4×15)/100

= (10,000×60)/100

= 600,000/100

=$6000

Hideki recognizes a $17,490.06 revenue.

What is Revenue?

Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.

Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,

To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:

x = 10000 x 1.15^4

x = 10000 x 1.749

x = 17490.06

Therefore, Hideki recognizes a $17,490.06 revenue.

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Show whether the earlier measure of one variable is associated with the later measure of the other variable. The two cross-lag correlations thus address the directionality problem and help establish temporal precedence.EX: aggression in third grade, is this associated with tv violence in 13th grade? And vice versa, is tv violence in 3rd grade associated with aggression in 13th grade?

Answers

To determine whether the earlier measure of one variable is associated with the later measure of the other variable, we can calculate the cross-lag correlation between these two variables. This will give us a measure of the strength and direction of the relationship between the two variables.

If the cross-lag correlation between aggression in third grade and tv violence in 13th grade is positive and statistically significant, it would suggest that there is a positive relationship between the two variables, meaning that higher levels of aggression in third grade are associated with higher levels of tv violence in 13th grade.

On the other hand, if the cross-lag correlation is negative and statistically significant, it would suggest that there is a negative relationship between the two variables, meaning that higher levels of aggression in third grade are associated with lower levels of tv violence in 13th grade.

Similarly, we can also calculate the cross-lag correlation between tv violence in third grade and aggression in 13th grade to determine whether the earlier measure of one variable (tv violence in third grade) is associated with the later measure of the other variable (aggression in 13th grade).

By calculating both cross-lag correlations, we can address the directionality problem and establish temporal precedence between the two variables. This helps us understand the nature of the relationship between aggression and tv violence over time and how it may change as individuals age.

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X The temperature, C, in degrees Celsius recorded by a city park's weather station between midnight and 7:00 a.m. could be represented as a linear function of the number of hours after midnight, t. The temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m. Which equation could be used to represent this function? (1 point) O C (t) = -0.8t – 4.2 OC (t) = -1.25t - 8.6 OC (t) = -0.8t - 3 OC (t) = -1.25t - 4.2​

Answers

Answer:

C(t) = -0.8t - 3

Step-by-step explanation:

We are told that the temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m.

Thus, difference in temperature is;

ΔT = -8.6°C - (-4.2°C)

ΔT = -8.6°C + 4.2°C

ΔT = -4.4°C

Now, number of hours between 1:30 a.m and 7:00 a.m is 5.5 hours.

Thus, average temperature per hour is;

-4.4/5.5 = -0.8°C/h

Now, since C is represented as a linear function of the number of hours after midnight, t.

Then the linear function is -0.8t + x = C(t)

Let's find x.

After 1.5 hours, we have -4.2°C. Thus;

-0.8t + x = -4.2

-0.8(1.5) + x = - 4.2

-1.2 + x = -4.2

x = -4.2 + 1.2

x = -3

Thus, the linear relationship is now;

C(t) = -0.8t - 3

Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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Geometry Section 58C/School Year/For the three-part question that follows, provide your answer to each

Answers

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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By the late 1820s, mexican ranchos in california were raising cattle specifically for their Determine whether or not F is a conservative vector field. If it is, find a function f such that F = f. (If the vector field is not conservative, enter DNE.)F(x, y) = (2x 4y) i + (4x + 10y 5) jf(x, y) = Sabes el telfono de Sandra? No, pero ________ tengo guardado opens in a dialogen mi celular. _____________ vas a llamar ahora? S, ___________ quiero invitar a almorzar con nosotros. If he sells each fish at a profit of $1. 25, how much money will he have after selling all 24 fish? show your calculation. What quote from the text best supports the author's assertion that animals in zoos are treated in an inhumane way? A. "Animals are not on Earth to create entertainment for people. n B. "Unfortunately, this can lead people to disrespect animals in other ways... 11 C. "Most zoos do not provide adequate space for animals to roam. 11 "Respecting animals means letting them live in peace in their natural habitats." Show that the flux of F =e_{r}/r^2 through a sphere centered at the origin does not depend on the radius of the sphere. The graph of the function f ( x ) is shown To raise funds for a new fire truck, a fire department is conducting a raffle. Residents can purchase a raffle ticket for $10.00 each. After writing his/her name on the ticket, the resident will place it in a container. Later on, a fire department official will randomly select one ticket from the container. The resident who purchased the selected ticket will win a prize of $2,000.00. a. Suppose at the time of the drawing there are a total of 1000 purchased raffle tickets in the container. If a particular resident has purchased 10 tickets, what is his/her probability of winning the prize? b. Compute the expected profit (winnings cost) for a particular resident who purchased 10 raffle tickets.c. After paying out the $2,000.00 prize, how much money has the fire department raised for its new fire truck? Other than the prize, ignore any other raffle costs incurred by the fire department. which of the following occurred in nineteenth-century africa as a result of the end of the transatlantic slave trade? responses an increased use of slave labor within africa an increased use of slave labor within africa the collapse of traditional religions the collapse of traditional religions the spread of factory industry the spread of factory industry a decrease in diamond production a decrease in diamond production the rise of political democracy which of the following would be defined as a large choral work for a chorus and/or solo voices? Hi can someone pls proof read my essay the prompt is Which is more important: talent or hard work? A radio station is having a T-shirt design contest. The first prize is four times the second prize. The second price is four times the third prize. The third price is $50. How much is the first prize? Does anybody understand this? The race track looks very wet because it has been in the rain for many hours. Whats the subject and the predicate pls and thank u What number is 26% of 752 pls. I really need it now pls......... rachels thinks that it is important to focus on the details of cases like the one described by alsop in order to (fill the blank) Question 3 4 marks Net Present Value (NPV). RAK Itd made an investment in Project A and expects the following estimated Net Cash Inflows below for five (5) years. Use this information to answer the questions that follow: Project A Time (10,000) 2,500 5,000 4,500 8,000 3,500 a) Calculate Net Present Value (NPV) of Project A, assuming the cost of capital is 10% per annum. 2 marks b) Should RAK Ltd accept this Project? If YES, Why? If NO, why not? Assume an annual interest rate of 10% for all five (5) years. 2 marks FOLLMAS 0 1 2 3 4 5 100%Ramn and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.At this rate, if they drive 960 miles, how much will the gas cost for the entire trip? Write on the causes of discipline in secondary school a man pushes an 80-n crate a distance of 5.0 m upward along a frictionless slope that makes an angle of 30 with the horizontal. his force is parallel to the slope. if the speed of the crate decreases at a rate of 1.5 m/s^2, then the work done by the man is