What are the degree and leading coefficient of the polynomial? 18u - 8u^2 -9 + u^7

Answers

Answer 1

The leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

According to the given question.

We have a polynomial 18u - 8u^2 -9 + u^7.

As we know that the leading coefficient of a polynomial is the coefficient of the leading term.

And the highest and the greatest power of a variable in a polynomial equation is called degree of a polynomial.

Here, the leading term of the given polynomial is u^7. Therefore, the leading coefficient of a polynomial is 1.

And the degree of the polynomial is 7.

Hence, the leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

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Related Questions

two investments totaling $28,000 produce annual income of $1435. One investment yields 9% per year, while the other yields 2% per year. How much is invested at each rate

Answers

The investment amount at 9% rate is $12500 and the investment

amount at 2% rate is $15500

What is mathematical expression?

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

Let x be the amount invested at 9% rate.

And (28000−x) be the amount invested at 2% rate.

The total annual income is $1435

Let us find the amount invested at 9% rate:

x9%+2%(28000−x)=1435

9%+2%(28000−x)=1435

0.09x+0.02(28000−x)=1435

0.09x+560−0.02x=1435

0.09x−0.02x=1435−560

0.07x=875

x=875/0.07

x=12500

Let us find the investment amount at 2% rate:

⇒28000−x

⇒28000−12500

⇒15500

Therefore, the investment amount at 9% rate is $12500 and the investment amount at 2% rate is $15500.

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Gwen has loyalty card for a store that gives her a discount of 5% off the marked price of items. Office Chair $800, Acer Laptop $4580.

(a) How much will she pay if she bought the two items above?

(b) The store buys the chairs at $1 530 for two. Show whether the store made a profit on the one chair from Gwen’s Purchase.

Answers

a. ($800 x 0.95 = $760) + ($4580 x 0.95 = $4351) = $5111

b. $1530/2 = $765 per chair. Gwen buys one for $760 so the stored did NOT make a profit

A kinara is a candle holder used during Kwanzaa celebrations. The graph shows the
number of kinaras, rounded to the nearest 500, an online store sold each year for 15
years. A line of fit is drawn to show the trend of the data. What does the slope of the line
represent?

Answers

Answer:C

Step-by-step explanation:

Please help! 10 points. If u don’t know the answer don’t answer please!

Answers

Answer: The answer is C

Step-by-step explanation: Bro I'm in 8th grade rn and I know the answer XD my IQ is 137 :)

Answer:b

Step-by-step explanation:becuase -2x times 6x = -12x

then your done with that part so then multiply 7x7 and that's 49 so its

-12x+49

A list of needed materials calls for one​ five-pound pack of deck screws. You have three leftover packs. Two of them are 1/4 ​full, and the third pack is 1/3 full. Expressed as a​ fraction, what part of a full​ 5-pound pack of nails do you​ have?

Answers

Based on the fact that there are three leftover packs, the part of the 5-pound pack of nails that you have is 5/6

What part of the pack do you have?

To find the part of the full 5-pound pack of nails that you have, you need to add up all the fractions of the leftovers that you have.

The part of the full 5-pound pack that you have is:
= 1/4 + 1/ 4 + 1/3

= 3/12 + 3/12 + 4/12

= 10/12

In the simplest term, this is:

= 5/6

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Kim multiplied 8 x 0.952 and got 76.16. How can you estimate to show that kim answer is incorrect

Answers

You can round .952 to 1 then multiple 1(8) and get 8.

It is no where close to 76.16.

What is the domain of the function y = square root x+6 -7?

Answers

Answer:

  -6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

Domain

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

  x+6 ≥ 0

  x ≥ -6 . . . . . domain of the given function

__

Additional comment

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

  [-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.

HELP WITH THIS MATH QUESTION PLEASE! I WILL GIVE BRAINLYEST!!

Determine if each sequence below is arithmetic or not.

a. 200, 40, 8

b. -6,-3,0, 3

c. Danielles parents have offered her a way to earn her allowance each week. She would get paid $30 each week. Does the amount of money Danielle has earned on the nth week represent an arithmetic sequence?

d. The price of a stock on day n of the year​

Answers

Answer:

I think the answer would be the letter b

Help please!!!?!?!?!

Answers

The amount borrowed is $87,000, the annual interest rate is 6%, the number of payments per year is 12, the loan term is 19 years, and the payment amount is $145,920.

Given that, an individual borrowed $87,000 an APR of 6%, which will be paid off with monthly payments of $640 for 19 years.

What is APR?

APR is annual percentage rate. APR can be found with the formula, APR = ((Interest + Fees / Principal or Loan amount) / N or Number of days in loan term)) x 365 x 100.

From the given question,

P=$87,000, R=6%, monthly payment=$640 and loan term = 19 years.

Total amount = Total number of months × Monthly payment

= 19 × 12 × 640

=$1,45,920

Therefore, the amount borrowed is $87,000, the annual interest rate is 6%, the number of payments per year is 12, the loan term is 19 years, and the payment amount is $145,920.

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can you sum 58.91 570 42,769 994.8

Answers

Answer: Yes, i think. you add 0's to 58.91 -----> 58.910. 570-------->570.000. 42,769-------->42,769.000. 994.800. to line them perfectly. greatest are always on top smallest are in the bottom

The sum of numbers 58.91, 570, 42,769, 994.8 will be

⇒ 44392.71

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The number are,

58.91, 570, 42,769, 994.8

Now,

The sum of numbers 58.91, 570, 42,769, 994.8 is,

⇒ 58.91 + 570 + 42,769 + 994.8

⇒ 44392.71

Thus, The sum of numbers 58.91, 570, 42,769, 994.8 will be

⇒ 44392.71

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Brody's age is 3 years less than twice Trinity's age? The sum of their ages is 30.

Answers

Answer: Brody's Age is 19 and Trinity's age is 11

Step-by-step explanation:

x = Trinity's age

2x-3= Brody's age

The sum of the ages is 30, so

x + (2x-3) = 30

3x - 3 = 30

add 3 to both sides 30 turns into 33 so,

3x = 33

divide by 3 both sides

x = 11 which is trinity's age and plug x  into 2x - 3 which is 19 so that's Brody's age.

Give the sample statistic for the percentage of voters surveyed who said they would vote for Brown. Round your answer to the nearest tenth of a percent.

Answers

Answer:

34%

Step-by-step explanation:

In the sample of 300 voters, 102 said they would vote for brown. The sample statistic is just the percent given by the sample. Find the percent by dividing the voters who said they'd vote for brown by the entire sample group:

[tex]\frac{102}{300}=0.34[/tex]

Convert this to a percentage:

34%

the sample statistic for the percentage of voters surveyed who said they would vote for Brown is  34%.

How do we explain?

we  start by divide the number of voters who said they will  vote for Brown by the total number of voters surveyed and then multiply by 100.

Number of voters surveyed (n) = 300

Number of voters who said they'd vote for Brown = 102

The Sample statistic for the percentage of voters who said they would vote for Brown:

Percentage of voters for Brown = (Number of voters for Brown / Number of voters surveyed) * 100

Percentage of voters for Brown = (102 / 300) * 100

Percentage of voters for Brown = 34%

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complete question:

The city of Raleigh has

11

,

900

11,900​ registered voters. There are two candidates for City Council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of

300

300​ randomly selected registered voters was conducted.

102

102​ said they'd vote for Brown,

195

195​ said they'd vote for Feliz, and

3

3​ were undecided.

a) Give the sample statistic for the percentage of voters surveyed who said they would vote for Brown. Round your answer to the nearest tenth of a percent.

QUESTION 5
The owner of an older house wants to put new tile in the kitchen. At a local hardware store the tile the owner wants to putdown is on sale for $2.50 per square foot. If the owners kitchen is in the shape of the figure below, how much will it cost to tile the floor?

13ft
12ft

5ft

Answers

I’m pretty sure is 5ft because a house isn’t that big… but can’t see the figure‍♀️

1. The graph of a certain geometric sequence can be described as a curve that is decreasing from left to right. Which sequence would have a similar graph?
A {1,1/3,1/9,1,27…}
B{1/16,1/8,1/4,1/2,..,}

Answers

The sequence A, 1, 1/3, 1/9, 1/27  shows the similar graph decreasing from left to right. Option a is correct.

Geometric progression abbreviated as GP is type of sequence and series that has common and equal ratio between preceding values in series.

Here,

The only geometric sequence seems from observation having decreasing from left to right, that implies the curve is also decreasing from left to right is 1, 1/3, 1/9, 1/27, having common ratio of 1/3 with preceding values.

Thus, the sequence 1, 1/3, 1/9, 1/27 shows the similar graph decreasing from left to right which can be described as a curve that is decreasing from left to right.

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a bottle contains 2 litter of water.The bottle leaks 80 milliliters of water every 3 minutes.will the bottle be empity in one hour?

Answers

Answer:

No, the bottle will not be empty

if angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?

Answers

Answer is 17 degrees

Angle 2 and 4 are vertical angles that are congruent so they are equal

Equation

6x + 8 = 4x + 11

Solve for x

Subtract 4x from both sides to isolate variables

6x - 4x + 8 = 4x - 4x + 11

2x + 8 = 11

Now subtract 8 from both sides to combine the constants

2x + 8 - 8 = 11 - 8

2x = 3

Divide both sides by 2 to solve for x

2/2 x = 3/2

x = 3/2

Now let’s solve for angle 2 by substituting 3/2 for x in the equation

(6)(3/2) + 8
18/2 + 8
9 + 8

Angle 2 is 17 degrees

We can also check angle 4

(4)(3/2) + 11
12/2 + 11
6 + 11
Angle 4 = 17 degrees

They are the same, problem solved!

H=at-0.25vt*, solve for a

Answers

A=h/t + 0.25v should be the correct answer

The vertical position y (in feet) of a rock t seconds after it was dropped from a cliff is given by the formula y equals short dash -16 t squared plus 4 t plus 380. The base of the cliff corresponds to y = 0. After how many seconds will the rock hit the ground at the base of the cliff?

Answers

The seconds that it will take the rock hit the ground at the base of the cliff is 5 seconds

How to calculate the value?

Based on the information given, it should be noted that the expression given is:

y = -16t² + 4t +380

We have to divide through by 4. Therefore,

y = -4t² + t + 95

y = -4t² + 20t - 19t + 95

y = -4t(t - 5) - 19(t - 5)

t - 5 = 0

t = 0 + 5

t = 5

The time taken will be 5 seconds.

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67 is the difference of Rita's height and 7.

Answers

Answer: 7=r-67

Step-by-step explanation:

r=Rita's height

7=r-67

convert into power notation 243/1,00,000​

Answers

Answer:

243=3^5

100000=5^5*2^5

So answer is- 3^5/5^5*2^5

Step-by-step explanation:

Hope it helps!!!

;}

Ordered: 130 mg. Available: 1 gr/tablet. How many tablets should be given? ________

Answers

Answer:

2

Step-by-step explanation:

1gr=100mg

130-100=30

No tablets should be given since the ordered quantity of 130 mg is less than the available quantity per tablet of 1 g.

How many tablets should be given?

We have the following data:

Ordered amount: 130 mg

Available amount per tablet: 1 g

To decide the number of tablets to be given, we have to be make sure the units are steady. Let's change over the ordered amount to grams:

130 mg = 130/1000 g = 0.13 g

Presently, we are able calculate the number of tablets:

Number of tablets = Ordered amount / Available amount per tablet

Number of tablets = 0.13 g / 1 g = 0.13 tablets

Since we cannot administer a fraction of a tablet, we round the result to the closest whole number. In this case, 0.13 is less than 0.5, so we round down:

Number of tablets to be given = tablets

Hence, no tablets ought to be given since the ordered amount of 130 mg is less than the available amount per tablet of 1 g.

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How can you find all the factors (or divisors) of a number?

Answers

Answer:

Step-by-step explanation:

Hey I need help please help

Answers

The slope of the linear function shown in the graph is of 2, as:

Run = 2.Slope = rise/run = 4/2 = 2.

What is a linear function?

A linear function is modeled according to the following rule:

y = mx + b

In which:

m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For this problem, we want to find the slope given two points of the function, which are (2,4).

For the calculation, we have that:

The rise is the change in y.The run is the change in x.

Hence:

The rise is of 4 - 0 = 4.The run is of 2 - 0 = 2.The slope is of 4/2 = 2.

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If Melinda wanted to build a patio in her backyard that was 14 feet long, 6 feet wide
and 4 inches deep using pervious concrete mix that is 4 parts aggregate to 4.5 parts
loose cement, with some water added then how many cubic feet of aggregate would
she need to build the walkway?
Round the final answer to the hundredths place. If you answer doesn't have a
hundredths place include zeros so that it does

Answers

The volume of aggregate that she needs to build the patio is 13.18 ft^3

How many cubic feet of aggregate would she need to build the walkway?

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

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22. The area of a floor that is fourteen and one-half feet wide is two hundred thirty-nine and one-fourth square feet. Find the perimeter of the floor.

Answers

The perimeter of the floor is found to be 62 feet.

What is defined as the rectangle?

A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°).

A rectangle's opposite sides are equal as well as parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The length of the rectangle is the longer side, and the width is indeed the shorter side.

Now, as per the given question;

The area of the rectangular floor is given as two hundred thirty-nine and one-fourth square feet.

Thus,

A = 239.25 feet

The width is fourteen and one-half feet.

Thus,

W = 14.5 feet

The formula for area is;

A = L×B  (L is the length)

Put the values;

239.25 = L×14.5

L = 239.25/14.5

L = 16.5 feet

The rectangular perimeter is;

P = 2(L + B)

P = 2(16.5 + 14.5)

P = 62 feet

Therefore, the perimeter of the rectangle floor is found to be 62 feet.

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Yu Yan competes in a sprint triathlon. The race consists of three parts: a 0.5-mile swim, a 12.4-mile bike ride, and a 3.1-mile run. a. Yu Yan completes the swim portion of the sprint triathlon in 25 minutes. What is her average swimming speed in miles per minute?​

Answers

The average swimming speed of Yu Yan is 0.02 miles per minute.

We are given that:

Yun Yan needs to swim 0.5 miles in the race.

She completed it in 25 minutes.

We need to find the average speed of Yu Yan in swimming in meter / minute.

We will do this by dividing the number of miles that she needed to swim with the number of minutes she took to complete it.

Average swimming speed = 0.5 miles / 25 minutes

Average swimming speed = 0.02 miles / minute

Therefore, the average swimming speed of Yu Yan is 0.02 miles per minute.

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Why does the graph look like a series of steps rather than a smooth curve? Why is a hollow circle needed at the beginning of each step(except the first)?

Answers

Answer:

  the cost function is defined as a step function

Step-by-step explanation:

You want to know why a cost graph has steps.

Cost Steps

In the US, current first class postage rates for appropriately sized envelopes are 60¢ for the first ounce, and 24¢ for each additional ounce.

Envelopes below a certain weight cannot be mailed, and above that minimum (up to at most one ounce), the cost will be 60¢. That is, the first step is at cost=60¢, and extends from some minimum weight up to 1 ounce at that cost.

Above one ounce -- even very slightly above, the cost is 84¢. There is no weight where the cost is 61¢ or 62¢ or any other number between 60¢ and 84¢.

For the purpose of determining cost, the weight is rounded up to the next higher ounce. This guarantees that cost values will be a discrete set of values.

Continuous weights

The weight can take on any real value. This is reflected in the continuous horizontal line at each level of cost.

The hollow circle at 1 ounce on the second step means that the cost for one ounce is not the value of that second step. The filled circle indicates the cost for one ounce is the value of the first step. The hollow circle also indicates that weights arbitrarily close to 1 ounce, but greater, will cost the same as for 2 ounces.

__

Additional comment

The minimum weight envelope that can be mailed first class will be a function of its size. Outside a certain size and weight range, the envelope will not be "machinable," so will incur an extra charge.

Simplify 4.5p(2 − 0.2p).
A.9p − 0.9p2
B. 9p − 0.2p2
C. 9 − 0.2p2
D.9 − 0.9p2
show your work

Answers

The simplified form of 4.5p (2 - 0.2p) is option A 9p - 0.9p²

Given,

The expression: 4.5p (2 - 0.2p)

We have to simplify the expression:

Simplification:

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement.

Difference between simplification and solving:

They are different in a way that extends the distinction between expressions and equations. Either equations or expressions can be simplified. Making the math language simpler entails shortening it. Finding the value or values that make the equation, or math sentence, true, is the process of solving.

That is,

4.5p (2 - 0.2p)

Open the bracket and do the multiplication:

(4.5p × 2) - (4.5p × 0.2p)

= 9p - 0.9p²

That is, the simplified form of the expression 4.5p (2 - 0.2p) is 9p - 0.9p².

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Use the hundredth grids below to answer the questions. The first two hundredth grids show Sophia's work. The second two hundredth grids show Aiden's work.

This image shows Sophia's work. One whole 10-by-10 grid and 2 columns and 5 squares on a second grid are shaded blue. On the second grid, the remaining 5 squares in the third column, 3 more columns, and 5 more squares are shaded brown.

This image shows Aiden's work. One whole 10-by-10 grid and 2 columns and 5 squares on a second grid are shaded blue. On the second grid, 4 squares in the third column are shaded brown.

Part A

Which student correctly models the problem 1.25 + 0.4. Type your answer in the box.
Sophia

Part B
What is the correct answer for 1.25 + 0.4?

1.65

Part C
Explain the errors made by the incorrect student. Refer back to the models and use equations to support your explanation.

Answers

Answer:

Aiden got the question wrong because he added four squares instead of four columns. Aiden confused 0.4 with 0.04, using 4 ones instead of 4 tens.

Im sorry if this is confusing i hope it helped :)

The sum of the ages of Steve and Ali is
three times the difference of their ages.
What is the ratio of Ali's age to Steve's
age if Ali is older?

Answers

The ratio of Ali's age to Steve's is 2 to 1.

How to find the ratio of Ali age to Steve age ?

The sum of the ages of Steve and Ali is three times the difference of their ages.

Therefore,

let

x = age of Steve

y = age of Ali

Hence,

x + y = 3(y - x)

x + y = 3y - 3x

Therefore,

x + 3x = 3y - y

4x = 2y

divide both side by 2

4x / 2 = 2y / 2

2x = y

The ratio of Ali's age to Steve's is 2 to 1.

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