Determine if the expression 7r - 6r3 - 10r4 is a polynomial or not.​

Answers

Answer 1

Answer:

A polynomial is a combination of terms separated by + or - signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Answer 2
Final answer:

The expression 7r - 6r^3 - 10r^4 is a polynomial because it consists of terms with variables raised to non-negative integer exponents.

Explanation:

The expression 7r - 6r3 - 10r4 is a polynomial because it is a mathematical expression consisting of terms with variables raised to non-negative integer exponents.

A polynomial is an algebraic expression made up of one or more terms, where each term has a coefficient and a variable raised to a non-negative integer exponent. In this case, the expression has three terms: 7r, -6r3, and -10r4. The variable in the expression is 'r', and each term is raised to a non-negative integer exponent.

Therefore, the expression 7r - 6r3 - 10r4 is a polynomial.

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Related Questions

What is the mean absolute deviation for 2, 9, 1, 7, 8, and 9? 1 3 6 8

Answers

Answer: 3

Order the numbers

Before: 2, 9, 1, 7, 8,9

After: 1, 2, 7, 8, 9, 9

Sum divided by the count.

Answer:

MAD = 3

Step-by-step explanation:

1) To find the MAD first let us find the mean of the data set.

mean = Sum of the elements of the data ÷ No. of elements in the data

mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6

mean = 36 ÷ 6

mean = 6

2 ) Now we have to calculate how fare each element is always from the mean and add them.

Note : use the absolute value because distance is always positive.

Let us find it.

( 6 -2 ) ⇒ 4

( 9 - 6 ) ⇒ 3

( 6 -1 ) ⇒ 5

( 7 - 6 ) ⇒ 1

( 8 - 6 ) ⇒ 2

( 9 - 6 ) ⇒ 3

Now add them

4 + 3 +  5 + 1 + 2 + 3 = 18

4 ) Now divide that answer by the number of elements.

MAD = 18 ÷ 6

MAD = 3

a square has an area of 81 yd^2. what is the length of each side

Answers

Answer:

9 yards

Step-by-step explanation:

A square has 4 equal sides, this means the 2 sides we will multiply to get the area are going to be the same. Since it says 81 yards squared and the shape is a square, we can do the square root of 81 which is 9.

Answer: 9x9 or 3x27

Step-by-step explanation:

squares are usually the same length but i would go with 9x9

adam and betty start at the same point. adam walks 3 feet north while betty walks 4 feet west. if a straight line were to be drawn between adam and betty, how long would the line be?

Answers

Pythagorean theorem
9+16= 25
Square root of 25 is 5.
Answer: 5 feet

Select the correct operator for the following exponential expression.
explain me how to do this?​

Answers

Answer:

obviously c

Step-by-step explanation:

9 is more than 8

Answer:

Step-by-step explanation:

4²⁰ ? 20⁴

please help i will give brainliest to first correct answer
(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )

Answers

Answer:

11

Step-by-step explanation:

You don't need the parenthesis, so you get:

2 5/8 + 4 8/17 + 9/17 + 3 3/8

You combine the integer values and get:

9 + 5/8 + 8/17 + 9/17 + 3/8

You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:

9 + 8/8 + 17/17

You simplify:

9 + 1 + 1 =

11

I'll teach you how to solve (2 5/8 +4 8/17 )+( 9/17 +3 3/8 )

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

(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )

Convert mixed numbers to improper fractions:

(21/8 + 4 8/17)+ (9/17+ 3 3/8)

Convert mixed numbers to improper fractions:

(21/8 + 76/17)+(9/17+ 3 3/8)

Convert mixed numbers to improper fractions:

(21/8 + 76/17)+(9/17+ 27/8)

Remover parentheses:

21/8 + 76/17+9/17+ 3 3/8

9/17+ 3 3/8= 72/163

21/8 + 76/17+72/163

Adjust fractions based on the LMC:

58191/22168+99104/22168+9792/22168

Convert improper fractions to mixed numbers:

7  11911/22168

Your Answer Is 7  11911/22168

plz mark me as brainliest :)

what is the simplest form of 2 sq root 3/ sq root 6

Answers

Answer:

2/√2

Step-by-step explanation:

We are to solve this surd question

2(√3)/√6

2(√3)/√2×3

2(√3)/√2×√3

Divide both by√3

2/√2

We will have to leave the answer in surd form

So the final answer is 2/√2

Answer:

Square root two or A

Step-by-step explanation:

I got it right on edg

The width of a rectangle is 4 units less than the length. The area of the rectangle is 45 units. What is the width, in units, of the rectangle?

Answers

Answer:

5 units

Step-by-step explanation:

Represent the length and width by L and W.  Then W = L - 4.

The area of the rectangle is 45 square units = L(L - 4), or

L^2 - 4L - 45 = 0

This factors easily into

(L - 9)(L + 5) = 0, so L must be 9.  We ignore the negative value -5.

The width of the rectangle is W = L - 4, or 5 units.

Final answer:

The width of the rectangle is 5 units, obtained by first determining the length using the given area and the relationship between the length and width, and then subtracting 4 from the length.

Explanation:

This is a problem related to the area of a rectangle. The area of a rectangle is calculated by multiplying its length and width.

Let's call the length of the rectangle L (in units). Since we know that the width is 4 units less than the length, we can denote the width as L - 4.

The area of the rectangle is given as 45 square units. Hence, we have the equation L*(L - 4) = 45.

Solving this equation, we get the length (L) as 9 units. Consequently, the width (L - 4) will be 9 - 4, which equals 5 units.

Therefore, the width of the rectangle is 5 units.

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Rewrite the number in scientific notation.
30,921,000 = 0 107

Answers

Answer: 3.0921 × 10e14

Step-by-step explanation:

What is the surface area of a cylinder with a height of 9.5 inches and a radius of
2.5 inches?

Answers

Answer:

surface area of a cylinder =  188.4 inches²

Step-by-step explanation:

to calculate the surface area of a cylinder given that

height of the cylinder = 9.5 inches

radius = 2.5 inches

recall that the formulae for calculating the surface area of a cylinder = 2πrh + 2πr²

surface area of a cylinder = 2πrh + 2πr²

surface area of a cylinder = 2 x 3.14 x 2.5 x 9.5 + 2 x 3.14 x (2.5)²

surface area of a cylinder = 6.28 x 2.5 x 9.5 + 6.28 x 6.25

surface area of a cylinder = 149.15 inches² + 39.25inches²

surface area of a cylinder =  188.4 inches²

Answer:

188.4 inches squared

Step-by-step explanation:

to calculate the surface area of a cylinder given that

height of the cylinder = 9.5 inches

radius = 2.5 inches

recall that the formulae for calculating the surface area of a cylinder = 2πrh + 2πr2

surface area of a cylinder = 2πrh + 2πr²

surface area of a cylinder = 2 x 3.14 x 2.5 x 9.5 + 2 x 3.14 x (2.5)²

surface area of a cylinder = 6.28 x 2.5 x 9.5 + 6.28 x 6.25

surface area of a cylinder = 149.15 inches² + 39.25inches²

surface area of a cylinder =  188.4 inches²

the solution to the system of equation below is (x,y)
5x-6y=2.7
10x+7y=1.6

what is the value of x?

Answers

The answer is is x= 0.3 the workings are in the picture

The value of x from the given set of equations is 0.30

Given the simultaneous equation

5x-6y=2.7

10x+7y=1.6

Using the elimination method;

Multiply equation 1 by 2 and equation 2 by 1 to have:

10x-12y=5.4

10x+7y=1.6

Subtract

-12y - 7y = 5.4 - 1.6

-19y = 3.8

y = -3.8/19

y = -0.2

Substitute y = -0.2 into equation 1 as shown:

5x - 6(-0.2) = 2.7

5x + 1.2 = 2.7

5x = 2.7 - 1.2

5x = 1.5

x = 1.5/5

x = 0.3

Hence the value of x from the given set of equations is 0.3

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- 4s - 6 + 7s = 28 answer pls answer pls answer pls answer pls

Answers

Value of s is 11.33

Step-by-step explanation:

Step 1: Find s.

-4s - 6 + 7s = 28

3s = 34

s = 34/3 = 11.33

log4 (x2 + 6) = log4 5x

Answers

Answer:

x=2  x=3

Step-by-step explanation:

log4 (x^2 + 6) = log4 5x

Since the bases are the same, we can set

x^2 +6 = 5x

Subtract 5x from each side

x^2 -5x +6 = 5x-5x

x^2 -5x +6 =0

Factor

(x-3) (x-2) =0

Using the zero product property

x-3=0    x-2=0

x=3   x=2

Today, Isaac needs to walk his dog, water the garden, and feed his fish. D is the number of minutes it takes


to walk his dog, G is the number of minutes it takes to water the garden, and F is the number of minutes it


takes to feed his fish.


The expression G + D + F describes the total number of minutes it takes Isaac to do all three tasks.


We can also use the expression (G+D) + F to represent the same quantity.

Answers

Answer:

The total minutes of the inside tasks: F

The total minutes of the outside tasks: G + D

The total minutes of the tasks involving animals: D + F

The total minutes of the tasks not involving animals: G

Step-by-step explanation:

For reference:

D is the number of minutes it takes to walk his dog G is the number of minutes it takes to water the garden F is the number of minutes it takes to feed his fish.

Inside task(s): feeing fish

Outside task(s): Watering garden and walking dog

Task(s) involving animals: Walking dog and feeding fish

Task(s) not involving animals: Watering garden

The above is basically our answer. We now need to put it in terms of F, G, and D (This will be in the same order as the above):

FG and DD and FG

Now, if you look at the very top with answer, you will see it's the same letters as what we just did. I hope this helps!

Final answer:

This Middle School mathematics question demonstrates the use of variables to calculate total time for different tasks based on the associative property of addition. It includes understanding time intervals and distances through practical examples and explores the efficiency of task completion with additional help.

Explanation:

The question falls under the subject of Mathematics and represents problems likely encountered at the Middle School level.

It explores basic algebra by introducing variables to represent the time taken for varied tasks and demonstrates how these variables can be added to find a total time.

Let's break down the provided scenarios:

1. For Isaac, the expression G + D + F or (G+D) + F both quantify the total time taken to complete all three tasks is an example of the associative property of addition which states that the way in which terms are grouped does not affect their sum.

2. In Bongani's case, the distance covered and the time spent can be calculated as follows:

 

3. For calculations involving crossing a river or any such activity, the appropriate expression will depend on the parameters available, echoing the same principle of adding different times spent on tasks to find a total.

4. The efficiency of undertaking tasks, such as preparing a garden, can be represented by comparing total times taken with and without additional help.

This shows that sometimes tasks are completed faster with extra, albeit less efficient, help due to the overall effort being distributed.

Surface area of 80 cm, 200, cm, and 3 cm

Answers

48000Answer:

Step-by-step explanation:

Answer:

33680

Step-by-step explanation:

What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?

A) 4
B) 8
C) 16
D) 32

Answers

The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Step-by-step explanation:

The given is,

                   Circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Step:1

                 Equation for circle is,

                                                 [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex].......................(1)

                  Where,

                                (h, k) - Center point

                                      r - Radius of circle

                   Given equation,

                                                 [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]....................(2)

                   Comparing equation (1) and equation (2)

                                                    (h, k) - (-6, 4)

                                                         [tex]r^{2}[/tex] - 16

                   Take square root on both side,

                                                         [tex]r = \sqrt{16}[/tex]

                                                         r = 4

                   Formula for diameter,

                                                        [tex]d = 2r[/tex]

                                                           [tex]=(2)(4)[/tex]

                                                           = 8

                        Diameter of circle, d = 8

Result:

           The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Write a equations for Phillip stared with $42 and saved $9 each week.

Answers

Answer:

y=9x+42

Step-by-step explanation:

x is the number of weeks.

He saves $9 each week.

He started with $42.

Hello there, to answer your question...

y=9x+42

I hope this helps. :)

The farmer's market is selling apples today at a price of 6 for $8.40. 1. Emma needs to buy 30 apples to make apple butter. How much will Emma pay for the apples at the farmer's market? Explain your reasoning. 2. Before buying the apples, Emma remembers that she only needs 26 apples for the apple butter. How much will 26 apples cost at the farmer's market? Explain your reasoning.

Answers

Answer: $36.4

Step-by-step explanation:

One apple cost = 8.40/6=1.4 $ . so for 26 apples she pay= 1.4*26=36.4

Answer:

1. it should be 42 because if you do 6 times 5, it would be 30. So then you do $8.40 times 5 which gives you $42.     2. $33.60 is 24 apples. Each apple is $1.40 so therefore 2 more apples would be an extra $2.80. The total for 26 apples would be $36.40

Step-by-step explanation:

i explaned it in the answer :)

Maura writes an expression equivalent to 8a - (-3 - 5a) - 2a. Her work is in the picture. In what step does Maura make a mistake? Describe her error and find the correct equivalent expression.

* 8a - (-3 - 5a) -2a *

Step 1: 8a + 3 - 5a - 2a
Step 2: (8a - 5a - 2a) + 3
Step 3: (3a - 2a) + 3
Step 4: a + 3

Answers

Answer:

11a + 3

Step-by-step explanation:

Step 1 : 8a + 3 - 5a - 2a

error => - 5a

8a - (- 3 - 5a) - 2a =

= 8a + 3 + 5a - 2a

= (8a + 5a - 2a) + 3

= 11a + 3

Answer:

11a+3

Step-by-step explanation:

8a-(-3-5a)-2a

Open the bracket first

8a+3+5a-2a

Collect like terms

8a+5a-2a+3

13a-2a+3

11a+3

So the final answer is 11a+3

The error is the that when you open the bracket the minus outside the bracket will multiply everything inside the bracket...and -×-=+

Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?

(A rectangular prism with measurements 3 centimeters, 10 centimeters, 6 centimeters.)

a rectangle with two 10-cm sides and two 6-cm sides
a rectangle with two 10-cm sides and two sides that are longer than 6 cm
a nonrectangular parallelogram with two 10-cm sides and two 6-cm sides
a nonrectangular parallelogram with two 10-cm sides and two sides that are longer than 6 cm

Answers

Answer:

b

Step-by-step explanation:

took quiz already

Answer:

B

Step-by-step explanation:

B

How many solutions does this quadratic equation have ? y=x^2-8x-20

Answers

Answer: y=x+2 or x-10

Step-by-step explanation:

Y=x2-8x-20

Quadratic equation

Variables of -20 that will give -8 are

-10 &+2

Substitute into the equation

Y=x2-10x+2x-20

Y=x(x-10)+2(x-10)

Y=(x+2)(x-10)

The two equations are

Y=x+2 or

Y=x-10

Factorise this expression as fully as possible
8x² - 4x

Answers

Hope this will help u.....

The expression 8x² - 4x can be fully factorized as 4x(2x - 1). This factorization is achieved by factoring out the greatest common factor, which is 4x, from both terms of the expression, leaving behind the binomial (2x - 1).

Let's factorize the expression 8x² - 4x step by step:

Start with the expression: 8x² - 4x

Notice that both terms have a common factor of 4x.

Factor out 4x from both terms: 4x(2x - 1)

So, the fully factorized expression is 4x(2x - 1). This means that the original expression can be written as the product of 4x and the binomial (2x - 1), where 4x is the greatest common factor and (2x - 1) is the remaining factor after factoring out 4x.

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Cole's rectangular garden has
of 54 square feet. What could
dimensions of the garden?
gular garden has an area
et. What could be the

Answers

Answer: 9 and 6

Step-by-step explanation:

It could be 9 and 6 because 9 times 6 equals 54.

The question asks for possible dimensions of a rectangular garden with an area of 54 square feet, which can be found by identifying factor pairs of 54, such as 1x54, 2x27, 3x18, or 6x9 feet.

The question involves finding possible dimensions for a rectangular garden that has an area of 54 square feet. The area of a rectangle is calculated by multiplying its length by its width. To find possible dimensions, we need to identify pairs of factors that, when multiplied together, give us the area of 54 square feet. Some pairs of factors for 54 could be:

1 foot by 54 feet2 feet by 27 feet3 feet by 18 feet6 feet by 9 feet

These dimensions are just a few examples, and there are other combinations possible, as long as the product of the two dimensions equals 54 square feet.

HELP NEED ASAP PLEASE!!!

Answers

Answer:

<L = 60

Step-by-step explanation:

If the figures are similar, the angle measurements remain the same

<x = <L

60 = <L

Sum of cubes:

(a + b)(a2 – ab + b2) = a3 + b3

Difference of cubes:

(a – b)(a2 + ab + b2) = a3 – b3

Which products result in a sum or difference of cubes? Check all that apply.

Answers

Answer:

(x - 1)(x² + x + 1) = x³ - 1³  and (x + 4)(x² - 4x + 16) = x³ + 4³

Step-by-step explanation:

complete question is: Check all that apply.

(x – 4)(x2 + 4x – 16)

(x – 1)(x2 – x + 1)

(x – 1)(x2 + x + 1)

(x + 1)( + x – 1)

(x + 4)(x2 – 4x + 16)

(x + 4)(x2 + 4x + 16)

SOLUTION:

Formulas for sum of cubes and difference of cubes are:

x³ +y³ = (x + y) (x²- xy + y²)

x³ - y³=(x - y)(x² + xy + y²)

So,

->(x - 1)(x² + x + 1) = x³ - 1³

The above statement yields the difference of cubes.

->(x + 4)(x² - 4x + 16) = x³ + 4³

The above statement yields the sum of cubes.

The products that result in a sum or difference of cubes are:

Sum of cubes: (a + b)(a2 – ab + b2) = a3 + b3

Difference of cubes: (a – b)(a2 + ab + b2) = a3 – b3

When we expand the given formulas, we're going to find that indeed, certain products result in a sum or difference of cubes.
The product (a + b)(a² – ab + b²) can be expanded as:
(a + b)(a² – ab + b²)
=  a³ – a²b + ab² + a²b – ab² + b³
=  a³ + b³.
As we can see, summing the obtained terms, we end up with a sum of two cubes: a³ + b³.
So, the first product indeed results in a sum of cubes. As a math teacher, I would mark this as true.
Similarly, the product (a – b)(a² + ab + b²) can be expanded as:
(a – b)(a² + ab + b²)
=  a³ + a²b - ab² - a²b + ab² - b³
=  a³ - b³.
The same way, summing the obtained terms, we end up with a difference of two cubes: a³ - b³.
So, the second product indeed results in a difference of cubes. As a math teacher, I would also mark this as true.
Therefore, both of the products result in a sum or difference of cubes.

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5. Why did it take 2 years for the U.S. to enter WW2 and why did we finally enter the war?

Answers

The U.S wanted to be isolationists

it did not enter the war untill the japanese bombed Pearl Harbor

PLEASE ANSWER FAST What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answers

Final answer:

Theoretical probabilities are based on mathematical predictions, while experimental probabilities are based on actual outcomes. For a coin toss, the theoretical probabilities are 25% for two heads, 25% for two tails, and 50% for one head and one tail. Experimental probabilities might be different, depending on the outcomes of the tosses, but over time they should approximate the theoretical probabilities.

Explanation:

The theoretical probability of a coin toss resulting in two heads showing or two tails showing is both 0.25 (or 25%). This because there are four equiprobable outcomes (HH, TT, HT, TH) and only one of these corresponds to the event of getting two heads or two tails. The theoretical probability of getting one head and one tail is 0.5 (or 50%) as it can happen in two different ways (HT, TH).

On the other hand, the experimental probability might be different due to randomness. Experimental probability is calculated by doing the experiment (e.g., flipping the coin), tracking the outcomes, and comparing the frequency of each outcome to the total number of trials. Depending on the outcome of the experiment, the experimental probability of getting two heads, two tails, or one of each could be different from the theoretical probabilities.

The difference between theoretical and experimental probabilities can be attributed to random chance. The more trials you run, the closer your experimental probability should come to the theoretical probability.

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Which statements help explain this result? Check all
that apply
The bottle was 1/2 full at 11:35 am, and doubled
again after 5 minutes,
The bottle was 1/4 full at 11:30 am, and doubled
twice after 10 minutes,
The bottle was 1/2 full at 11:35 am, and more
bacteria were added to fill the bottle
Exponential growth involves a constant
multiplicative rate of change,
Exponential growth involves a constant additive
rats of change

Answers

Answer: The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.

Exponential growth involves a constant multiplicative rate of change.

Step-by-step explanation: They are the right answer

Evaluate g(x) = 2X for x = 5.

Answers

Answer:

g(5) =10

Step-by-step explanation:

g(x) = 2x

Let x=5

g(5) = 2(5)

g(5) =10

Need help ASAP I will mark first CORRECT brainliest

Answers

Answer: its B or A

Step-by-step explanation:

Answer:

A) 40

Step-by-step explanation:

Because angle 1 is 140 on a 180 line so 2 is 40 and 2 is congruent to 6

4 A packet of sweets has 12 ahocolates and 8 mints.
a Write the ratio of chocolales lo mints.
b What proportion of the sweets are mints? Write your answer as a fraction
and as a percentage.​

Answers

a)
chocolates — 12
mints — 8
12 : 8 = 3 : 2 ( simplified )

b) 8/12 = 2/3 ( simplified )

2/3 x 100% = 66/2/3 % ( percentage )

hope this helped :)

Final answer:

In this solution, we determine the ratio of chocolates to mints as 3:2 and the proportion of mints in the packet as 2/5 or 40%. The steps are explained clearly and concisely.

Explanation:

Ratio of Chocolates to Mints:

Number of chocolates : Number of mints = 12 : 8

Ratio = 12/8 = 3/2

Proportion of Mints:

Total sweets = 12 chocolates + 8 mints = 20

Proportion of mints = 8/20 = 2/5

Percentage of mints = (8/20) x 100% = 40%

Other Questions
Braker Manufacturing has a target of carrying closing monthly inventory equal to fifteen percent of next month's projected sales. If the current month's beginning inventory is 8,000 units and it expects to sell 50,000 units this month and 45,000 units next month, how many units should it produce this month? Suppose a batch of steel rods produced at a steel plant have a mean length of 170170 millimeters, and a standard deviation of 1010 millimeters. If 299299 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by greater than 0.70.7 millimeters? Round your answer to four decimal places. 6.6.PS-20Question HelpAlan has read 20% of a book. He has 48 more pages to finish. How many pages are there in thebook? A projectile proton with a speed of 1100 m/s collides elastically with a target proton initially at rest. The two protons then move along perpendicular paths, with the projectile path at 45 from the original direction. After the collision, what are the speeds of (a) the target proton and (b) the projectile proton? The definition of a family has remained the same over time true or false What function does the hippocampus NOT control? * What is the area of the prism below pls help ASAP Al and Bill are arguing about the performance of their sorting algorithms. Al claims that his O(N log N)-time algorithm is always faster than Bill's O(N2)-time algo- rithm. To settle the issue, they implement and run the two algorithms on many randomly generated data sets. To Al's dismay, they find that if N 1000 the O(N2)- time algorithm actually runs faster, and only when N 1000 the 0(N logN)-time (10 pts.) one is better. Explain why the above scenario is possible What is the freezing point of a solution of ethylene glycol, a nonelectrolyte, that contains 59.0 g of (CH2OH)2 dissolved in 543 g of water? Use molar masses with at least as many significant figures as the data given. Suppose a competitive firm has cost, C = (0.002q3) + (22q) + 750, marginal cost, MC = 0.006q2 + 22, and revenue, R = 80q. If the firm produces 150 units of output, A. R < C. B. MR < MC. C. marginal profit > 0. D. MR > MC. At this output level (150 units), A. profit is negative. B. marginal profit is negative. C. profit is positive. D. None of the above. Shirley is a supervisor of a team of nurses. When one of the nurses suggeststhat the team use a new technique for checking blood pressure that sheresearched, Shirley agrees to have the team try it for a week and then discussif it was effective. Which of the following team work skills did Shirley apply?OA. NegotiationOB. Conflict managementOC. Time managementOD. Listening Question 18 cakes of the same type have a total cost of 13.20Work out the cost of 12 of these cakes.(2 marks) When 3.8 g of aluminum are reacted with excess chlorine in the lab, you find you have made 17.8 g of aluminum chloride. What is the percent yield of this reaction? Provide the correct form of the verbs in parenthesis according to the subject performing them. Who performs the verbs will be apparent from context. Rember, sometimes a verb might need to be left in the infinitive. A parent that is heterozygous for a trait is crossed with a parent that is homozygous recessive for the same trait, as shown in the Punnett square. What is the probability that the offspring will be homozygous dominant for this trait? Which dimensions can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm Betty made a simple electromagnet using just a battery and a wire. What could Betty do to increase the strength of herelectromagnet? In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form? Sam says that when he clicks on his schedule on the Internet, his computer is a receiver, not a sender. Is Sam correct? Why or why not? Correct, because his computer is receiving Sams schedule Wrong, because his computer is sending a request for Sams schedule Correct, because his computer is mainly receiving, although it does send an initial request so that Sam can get his schedule Wrong, because his computer is sending and receiving requests so that Sam can get his schedule In 1992, the U.S. Senate was composed of 57 Democrats and 43 Republicans. Of the Democrats, 38 had served in the military, whereas 28 of the Republicans had served. If a senator selected at random is found to have served in the military, what is the probability that the senator is Republican