Determine if the expression zx^3/9-x^3 is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.

Answers

Answer 1

This expression is not a polynomial, and it doesn't have a type or degree.

The expression zx^3/9-x^3 can be simplified as:

zx^3/(9-x^3)

This expression is not a polynomial because it contains a variable (x) in the denominator, which makes it a rational expression.

A polynomial is an expression of one or more terms involving only constants and variables raised to positive integer powers, with no variables in the denominators.

Therefore, this expression is not a polynomial, and it doesn't have a type or degree.

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Related Questions

A 292929-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 777 meters per minute. At a certain instant, the bottom of the ladder is 212121 meters from the wall.

Answers

Answer: The rate of change of the distancebetween the bottom of the ladder and the wall at that instant is 6.67 meter per minute.Let us consider that distance between the top of the ladder and the ground is x meterand distance between the bottom of the ladder and the wall is y meter.So, A right angle triangle is formed.Since, the bottom of the ladder is 21 meters from the wall.So,    Applying Pythagoras theorem,                         Given that,   the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.                           Differentiate below equation with respect to time.                     Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute

Step-by-step explanation:

The minimal passing score for a test is 80%. There are 12 exercises on the test. What is the minimum number of correct exercises needed to earn a passing score?

Answers

Getting each exercise correct gets you 8.3(recurring)%. Therefore if you answer 10 exercises correctly you get 83.3%, and if you answer 9 exercises correctly you get 75%, this means that the minimal exercises you need to get correct is 10.

How do I find the slope and Y-intercept of the line x+2y=-2

How do I find the slope and Y-intercept of the line x+2y=-2

Answers

Answer:

slope = -1/2

y-intercept = (0, -1)

Explanation:

Given:

\(x\text{ + 2y = - 2}\)

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

\(\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}\)

We need to rewrite the given equation in the form above so as to get the slope

\(\begin{gathered} x\text{ + 2y = -2} \\ 2y\text{ = -x - 2} \\ y\text{ = -}\frac{x}{2}\text{ - }\frac{2}{2} \\ y\text{ = }\frac{-x}{2}-1 \end{gathered}\)

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

\(\begin{gathered} y\text{ = }\frac{-0}{2}\text{ - 1} \\ y\text{ = 0 - 1} \\ y\text{ = -1} \\ \\ The\text{ y-intercept in ordered pair \lparen x, y\rparen:} \\ when\text{ x = 0, y = -1} \\ y-\text{ intercept = \lparen0, -1\rparen} \end{gathered}\)

hadlee spent 1/4 of her money on christmas presents she had 180 remaining . how much did hadlee soend on christmas present

Answers

The amount for handle soend on Christmas present will be 240.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Now,

Since, Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Let the amount for handle soend on Christmas present = x

Hence, The amount for handle soend on Christmas present will be;

⇒ x - 1/4x = 180

⇒ 3/4x = 180

⇒ 3x = 180 × 4

⇒ 3x = 720

⇒ x = 240

Thus, The amount for handle soend on Christmas present will be 240.

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How do you solve 14/x = 2/5 ?

Answers

Answer:just solve it

Step-by-step explanation:

it is super easy

GIVING 70 POINTS AND I WILL MARK BRAINLIEST PLEASE HELP! :D sorry for the all caps im just rlly energetic right now

A square garden is expanded to a rectangle in which the width is 1.5 times the original side length and the length is 3.5 times the original side length. The area of the expanded garden can be modeled by the expression (1.5s)(3.5s).

Simplify the expression (1.5s)(3.5s).

(A)5s
(B)5s2
(C)5.25s2
(D)5.25s

Answers

Answer:

C) 5.25s^2

Step-by-step explanation:

1. Multiply 1.5s x 3.5s = 5.25.

2) Because 1.5 has one s, and 3.5 has another s, these 2 s combine (s+s)=s^2. Meaning there is 2 s in the equation. s^2 happens when you multiply two numbers that each have an s. Multiplication in this problem is brought by the use of parenthesizes surrounding these 2 numbers.

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Which section (A or B) of the roller coaster shows
positive acceleration?

Which section (A or B) of the roller coaster shows
negative acceleration?

~Worth 15 points and brainliest~Which section (A or B) of the roller coaster showspositive acceleration?Which

Answers

Answer:

A

B

Step-by-step explanation:

Answer:

a

then

b

Step-by-step explanation:


O Horizontal translation of 11 units
O Reflection across y-axis
O Horizontal translation of 4 units
O Reflection across x-axis

O Horizontal translation of 11 unitsO Reflection across y-axisO Horizontal translation of 4 unitsO Reflection

Answers

Answer:

The answer is B

Step-by-step explanation:

I got B because it just looks like its flipped over the y axis. Its also even. Im sorry if you didnt get that but im not the best explainer at these types of problems lol. But its actually b trust me

pls mark brainliest because i didnt waste your time lol

In 24 hours, 110 l of water pass through a sponge. what is the rate of waterflow.

Answers

Answer:

4.58 litres per hour

Step-by-step explanation:

To find the rate of water flow, we need to divide the amount of water that passed through the sponge by the time it took:

Rate of water flow = Amount of water ÷ Time

In this case, the amount of water that passed through the sponge is 110 litres and the time it took is 24 hours. So we can calculate the rate of water flow as:

Rate of water flow = 110 litres ÷ 24 hours

Simplifying this, we get:

Rate of water flow = 4.58 litres per hour (rounded to two decimal places)

Therefore, the rate of water flow is 4.58 litres per hour.

________________________________________________________

at the city museum, child admission is $5.20 and adult admission is $8.60. on tuesday, 131 tickets were sold for a total sales of $956.60. how many adult tickets were sold that day?

Answers

Answer:

81 adult tickets were sold that day

Step-by-step explanation:

We will need a system of equations to solve for the number of adult tickets sold.

First equation: For reference, revenue refers to price * quantity.  

We know that the revenue earned from the child tickets plus the revenue earned from the adult tickets equals the total revenue ($956.60):

(price of child tickets * quantity of child tickets) + (price of adult tickets * quantity of adult tickets) = total revenue.

Allowing C to represent the number of child tickets and A to represent the number of adult tickets, our first equation is:

5.20C + 8.60A = 956.60

Second Equation:  

We further know that the quantity of child tickets plus the quantity of adult tickets equals the total quantity of tickets sold (131)

Thus, our second equation is:

C + A = 131

Method to Solve:  We can solve for A using substitution.  Let's isolate C in the second equation and plug it in for C in the first equation:

Isolating C in second equation:

(C + A = 131) - A

C = -A + 131

Substituting -A + 131 for C in first equation:

5.20 (-A + 131) + 8.60A = 956.60

-5.20A + 681.20 + 8.60A = 956.60

3.40A + 681.20 = 956.60

3.40A = 275.40

A = 81

Optional Checking Step:

We can check that we've correctly found the correct number of adult tickets sold by first using the second equation in our system to solve for C:

C + 81 = 131

C = 50

Second, we want to plug in 81 for A and 50 for C in both equations in our system and check that we get 956.60 and 131 respectively:

Checking solutions for first equation:

5.20(50) + 8.60(81) = 956.60

260.00 + 696.60 = 956.60

956.60 = 956.60

Checking solutions for second equation:

50 + 81 = 131

131 = 131

A whole number is multiplied by six. What must the answer be?
A) a square number
B) a prime number
C) a number divisible by 12
D) a multiple of 3

Answers

Answer:

C is the correct one

Step-by-step explanation:

I’ve done it before

C I had this as homework and got it right

Someone please HELP !!!!!!!! Will mark Brianliest PLEASE !!!!!!!!!!

Someone please HELP !!!!!!!! Will mark Brianliest PLEASE !!!!!!!!!!

Answers

Answer:

needs more info

Step-by-step explanation:

Find the sum of the first 10 terms of an arithmetic sequence with an eighth term of 8.2 and a common difference of 0.4.

Answers

The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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Solve the equation -6 = -9 – 3x for x.
A. -2
B. -1
C. 0
D. 1

Answers

Answer:

Your answer is -1 or B

Step-by-step explanation:

This is your answer because

A: is Incorrect because, 3(-2)= -6 and -9 - -6 = -3

B: is Correct because 3(-1)= -3 and -9 - -3 = -6

C: is Incorrect because, 3(0)= 0 and -9 - 0 = -9

D: is Incorrect because, 3(1)= 3 and -9 - 3 = -12

Thus your answer is B!

your answer is b .

x= -1

isolate the variable by dividing each side by factors that don't contain the variable

below. a) Which of the boxes has the smaller range of masses? b) What is the value of this range? Give your answer in grams (g). Box A 97653 4 Box A Box B 15 1469 5 6 2 478 39 835 8762 7 Box B Key 35 represents a mass of 53 g 51 represents a mass of 51 g​

Answers

Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.

The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).

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What is the slope of the line that passes through (-2,3) and (2, 11) ?

Answers

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - (-2)

8 / 4

= 2

Cormac has some sweets in a bag.
The sweets are lime flavoured or strawberry flavoured or orange flavoured.
In the bag
number of lime
flavoured sweets
number of strawberry
flavoured sweets
number of orange = 9:4:x
flavoured sweets
OC
9
4
Cormac is going to take at random a sweet from the bag.
3
The probability that he takes a lime flavoured sweet is
Work out the value of x.

Answers

The probability that Cormac takes a lime flavoured sweet is 9/16.

What is probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The following can be deduced:

number of lime = 9

number of strawberry = 4

number of orange = 3

Total = 16

Probability of picking a lime will be:

= Number of lime / Total

= 9/16

The probability is 9/16.

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Complete question

The sweets are lime flavoured or strawberry flavoured or orange flavoured.

In the bag

number of lime = 9

number of strawberry = 4

number of orange = 3

ANSWER ASAP

Three points of a parallelogram are (4, 3), (-4 3), and (2, -3).

What are the coordinates of the 4th point that would complete the parallelogram?

Answers

Given parallelogram points are (4,3),(-4 3), and (2, -3).

Let's say A= (4,3) , B=(-4 3) ,C=(2, -3) and D=(x, y)

Parallelogram defined as opposite sides are equal and parallel to each other.

From the properties of parallelogram :

We can say diagonals bisect each other.

From this we can easily find 4th point of parallelogram by using mid point concept.

Mid point formula

 (X,Y)=\((\frac{x_{1} +x_{2}}{2},\frac{y_{1} +y_{2}}{2})\)

Find mid point between AC line

midpoint (X,Y)= \((\frac{4 +2}{2},\frac{3-3}{2})\)

                (X,Y)=\((\frac{6}{2},\frac{0}{2})\)

                 (X,Y)=(3,0)

Find mid point between BD Line

Mid point (X,Y)= \((\frac{-4 +x}{2},\frac{3+y}{2})\)

Mid point of AC and BD are equal to each other

(3,0)=\((\frac{-4 +x}{2},\frac{3+y}{2})\)

Equate x-coordinate and y-coordinate.

\(3=(\frac{-4 +x}{2})\)        and      \(0=(\frac{3+y}{2})\)

6=-4+x             and       0=3+y

x=10                 and        y=-3

Therefore ,the coordinates of the 4th point is D(x, y)=(10,-3)

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The coordinates of the fourth point that would complete the parallelogram are (10, -3).

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

We know A, B, and C, where A = (4, 3), B = (-4, 3), and C = (2, -3).

To determine the fourth point, which represents D.

First, we need to find the vector representing side AB.

Subtracting the coordinates of point B from the coordinates of point A. So:

AB = A - B = (4, 3) - (-4, 3) = (8, 0)

Next, we need to find a point that is on the line that is parallel to AB and passes through point C.

The vector CD (where D is the point) is equal to AB. So:

CD = AB = (8, 0)

We know that C = (2, -3),

We can start by adding CD to C to get D:

D = C + CD = (2, -3) + (8, 0) = (10, -3)

Therefore, the coordinates of the fourth point are (10, -3).

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ANSWER ASAPThree points of a parallelogram are (4, 3), (-4 3), and (2, -3). What are the coordinates

Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than an oxygen molecule.

Which statements describe writing 0.00000000003 in scientific notation? Check all that apply.
The exponent is negative.
The exponent is positive.
The coefficient is 0.3.
The exponent represents the number of places the decimal moves.
The decimal moves to the right.

Answers

Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

Representing numbers in scientific notion involves representing decimals or large numbers in exponential form. The true statements about the expression are :

The exponent is negative

The exponent represents the number of places the decimal moves.

The decimal moves to the right.

Since the value is a decimal below 1 ; then it will have a negative exponent.

The number of decimal places moved will be the value of the exponent raised to a negative value in this scenario.

For each exponent, the decimal starts to move to the right.

Hence, only the three statements are correct.

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Another famous puzzle used as an example in the study of artificial intelligence seems first to have appeared in a collection of problems, Problems for the Quickening of the Mind, which was compiled about A.D. 775. It involves a wolf, a goat, a bag of cabbage, and a ferryman. From an initial position on the left bank of a river, the ferryman is to transport the wolf, the goat, and the cabbage to the right bank. The difficulty is that the ferryman’s boat is only big enough for him to transport one object at a time, other than himself. Yet, for obvious reasons, the wolf cannot be left alone with the goat, and the goat cannot be left alone with the cabbage. How should the ferryman proceed?

Answers

The ferryman should transport the goat first, then return alone to bring the wolf, leaving the goat on the right bank. Finally, he should transport the cabbage and leave it with the wolf.

In order to solve this puzzle, the ferryman must make a series of careful moves to ensure the safety of the wolf, goat, and cabbage. The first step is to transport the goat to the right bank, leaving it there. The ferryman then returns to the left bank alone.

He takes the wolf across the river, but before leaving it on the right bank, he brings the goat back to the left bank. Now, the goat and cabbage are on the same side, while the wolf remains on the right bank.

The ferryman transports the cabbage to the right bank, leaving it there, and then returns alone to the left bank. Finally, he takes the goat across the river one last time, completing the puzzle. This sequence of moves ensures that the wolf and goat are never left alone together, nor are the goat and cabbage.

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A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick.
Let yyy represent the ice sheet's thickness (in meters) after xxx weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=y=y, equals

Answers

Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.

The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

⇒ S(t) = 2 - 0.25 t

Which is the required function's formula.

Can Someone help me find what’s half of 3 because I get that the whole line is 3 and you need to find what QJ is which is half but wouldn’t you need to divide it by Two to find it but you can’t divide 3

Can Someone help me find whats half of 3 because I get that the whole line is 3 and you need to find

Answers

Half of 3 is 1.5 (1.5 + 1.5=3)

For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?

Answers

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

How to solve ratio?

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Solve the inequality.
X+6 < 8

Solve the inequality.X+6 &lt; 8

Answers

Answer:

d. x≤2

Step-by-step explanation:

Dylan prepared 49 kilograms of dough after working 7 hours. How many hours did Dylan work if he prepared 70 kilograms of dough? Solve using unit rates.

Answers

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

. If x = -4 and y = 2x – 1, then y equals what number?

Answers

Answer: y = -8x - 1

Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1

(please mark as brainliest) :D

\(\huge\text{Hey there!}\)

\(\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}\)

\(\large\textsf{y = 2(-4) - 1}\)

\(\large\textsf{2(-4) = \bf -8}\)

\(\large\textsf{-8 - 1}\)

\(\large\textsf{= \bf -9}\)

\(\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

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A transcriptionist types 62 words per minute. Which statement is correct?

Answers

Answer:

C. The number of words, w, is the dependent variable

what is 3422.4 divided by 544

Answers

6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Celeste takes out a loan of $31,840 that accrues


interest at a rate of 7. 5% per year. Determine the total


cost of the loan if the interest is COMPOUNDED:


Yearly:


Quarterly:


Monthly:

Answers

The total cost of the loan with yearly compounding is $34,140, with quarterly compounding is $34,262.03, and with monthly compounding is $34,331.97.

To determine the total cost of the loan under different compounding frequencies, we can use the formula for compound interest: Total cost = Principal amount + Interest. Given: Principal amount (P) = $31,840, Annual interest rate (r) = 7.5% = 0.075. Yearly compounding: To calculate the total cost with yearly compounding, we can use the formula: Total cost = P * (1 + r)^n, Where n represents the number of years.

Using the given values, the total cost with yearly compounding is: Total cost = $31,840 * (1 + 0.075)^1 = $34,140. Quarterly compounding: To calculate the total cost with quarterly compounding, we need to adjust the interest rate and the compounding period: Annual interest rate (r) = 7.5% = 0.075. Number of compounding periods per year (n) = 4. The formula for quarterly compounding is: Total cost = P * (1 + r/n)^(n*t), Where t represents the number of years. Using the given values, the total cost with quarterly compounding is: Total cost = $31,840 * (1 + 0.075/4)^(4*1) = $34,262.03

Monthly compounding: To calculate the total cost with monthly compounding, we adjust the interest rate and the compounding period again: Annual interest rate (r) = 7.5% = 0.075, Number of compounding periods per year (n) = 12, The formula for monthly compounding is:

Total cost = P * (1 + r/n)^(n*t), Using the given values, the total cost with monthly compounding is: Total cost = $31,840 * (1 + 0.075/12)^(12*1) = $34,331.97. Therefore, the total cost of the loan with yearly compounding is $34,140, with quarterly compounding is $34,262.03, and with monthly compounding is $34,331.97.

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Which of the following correlation coefficients indicates the strongest relationship between two variables? a.−1.0 b. 0.80 c.0.1 d.−0.45

Answers

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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In the psychoanalytic theory of sigmund freud, the __________, which is the basic emotional and psychic energy of life, is believed to be constituted by life instincts. where dose this number go on the number line what does the tone of sargon ii's lamassu inscription at dur-sharrukin to convey about neo-assyrian kingship? Oil prices are projected to increase by 30% by next April. A quart of oil currently costs $1.65. What is the projected cost of a gallon of oil next April? Round your answer to the nearest hundredth. What is the definite article for the word peridicos one of king edwins councilmen uses an analogy. what two things are being comapred? what is the purpose of this analogy? Crimes that threaten the general well-being of society and challenge accepted moral principles are defined as? Fill in the blank with the appropriate angle:Given: AB and CD, transversal EFBGH and _____ are same side interior I need help pls and ty Khalil ordered a pizza with a 16-inch diameter to share with friends, and Esmerelda ordered a pizza with a 9-inch diameter to eat by herself. What is the approximate difference in the areas of the two pizzas? The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of the square. If the area of he square is 45, what is the area of the rectangle The photo on the left shows an alligator hiding in swamp water. The photo on the right shows an alligator with a mutation for white skin.What kind of effect is the mutation most likely to have on the alligator?A. Neutral, because it will have a easier time staying warmB. Harmful, because it will have a harder time sneaking up on its preyC. Harmful, because it will have a harder time staying clean D. Beneficial, because it will have an easier time finding a mate A(n) ________ is a commercially available set of software programs that eliminate the need for a firm to write its own programs for business functions. The Phillips curve implies that when unemployment is high, inflation is low, and vice versa. Therefore, we may experience either high inflation or high unemployment, but we will never experience both together.Is this statement true, false, or uncertain? Choose the answer that best explains. Linear, magnetic patterns associated with mid-ocean ridges are configured as ________. Help me please to solve this 7. The standard weights (dhaks) and meter scales of the shops in the market are verified in every two years by the department of measurement of Nepal, Why? Arturopurchasedapackageof50blankCDs.AfterheusedxCDs,hehadxlessthan50CDsremaining.HowmanyCDsdidhehaveleftafterusing31CDs? 1. A plane is flying from Indianapolis to Los Angeles with an air speed of 211 km/hr towards the west. The air current that day is blowing at 12 km/h towards the east. Find the speed of the plane relative to the ground.2. A tug boat called SS Walnut is traveling upstream with a still water speed of 22 km/h in a river with a current of 5.0 km/h. What is the velocity of the boat relative to an object on the shore?3. Dante flies his jet plane from Spokane, WA to Cincinnati OH. The plane flies towards the east with a ground speed of 740 km/h. The wind that day is blowing from the west with a speed of 38 km/h. What is the jet's air speed?4. A kayaker traveling downstream is pulled out of his kayak in a river with a current of 31 km/h. The Kayaker continues downstream. A hiker on the shore observes the kayaker to be swimming at 33 km/h. What is the kayaker's still water velocity?5. A prop engine plane takes off from the ground and reaches its cruising altitude and air speed of 216 km/h towards the east. At this altitude the easterly wind speed is measured at 67 m/s. a. What is the plane's ground speed while flying at this altitude?b. What is the distance this plane has flown after 7.0 hours at its cruising altitude? A student lifts a 1. 4-kg box of magazines vertically from rest with an upward force of 52. 7 N. The distance of the lift is 1. 6 meters. Find thetotal work done on the box-64. 41 a scientist wishes to examine a beehive for information about where forager bees have been. what would be a key factor in this research?