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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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
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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How can you find all the factors (or divisors) of a number?
Answer:
Step-by-step explanation:
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
H=at-0.25vt*, solve for a
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
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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Hey I need help please help
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.More can be learned about linear functions at https://brainly.com/question/24808124
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What is the domain of the function y = square root x+6 -7?
Answer:
-6 ≤ x < ∞
Step-by-step explanation:
You want the domain of the function y = √(x+6) -7.
DomainThe 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.
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)?
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 StepsIn 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 weightsThe 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.
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?
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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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?
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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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?
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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Kim multiplied 8 x 0.952 and got 76.16. How can you estimate to show that kim answer is incorrect
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
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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Ordered: 130 mg. Available: 1 gr/tablet. How many tablets should be given? ________
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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can you sum 58.91 570 42,769 994.8
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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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
Answer:
I think the answer would be the letter b
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?
Answer:C
Step-by-step explanation:
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?
Answer:
No, the bottle will not be empty
Please help! 10 points. If u don’t know the answer don’t answer please!
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
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.
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 :)
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.
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.
Brody's age is 3 years less than twice Trinity's age? The sum of their ages is 30.
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.
67 is the difference of Rita's height and 7.
Answer: 7=r-67
Step-by-step explanation:
r=Rita's height
7=r-67
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.
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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convert into power notation 243/1,00,000
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!!!
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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?
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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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,..,}
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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Help please!!!?!?!?!
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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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.
if angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?