The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
What is the degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content?It follows from the task content that the degree of the polynomial in discuss is to be determined as required in the task content.
First, it is noteworthy to know that the degree of a polynomial is the greatest power of a variable present in the polynomial.
On this note, it follows that the degree of the function in this scenario is; 8.
Ultimately, The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
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A dressmaker measures a length of fabric as 600m correct to the nearest 5 meters.
He cuts this into dress lengths of 9cm correct to the nearest meter.
Calculate the largest number of completer dress lengths he could cut.
The largest number of dress length that could be cut is 66.
How to find the largest number complete dress length he could cut?The dressmaker measures a length of fabric as 600 meters correct to the nearest 5 meters.
He cuts this into dress lengths of 9cm correct to the nearest meters.
The largest number of complete dress length he could cut can be calculated as follows:
largest number of dress length cut = 600 / 9
largest number of dress length cut = 66.6666666667
largest number of dress length cut ≈ 66
Therefore, the largest number of dress length that could be cut is 66.
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Talia has a square piece of blue glass with an area of 320 square centimeters. What is the greatest number of medium squares that Talia can cut from this piece?
The greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
How to determine the numberFrom the information given, we have that;
The area of the square piece is 320 square centimeters.
It is important to note that the formula for area of a square is expressed as;
Area = a ²
Where a is the length of it's side
Let's substitute the value of the area in the formula
320 = a²
Take the square root of both sides
a = √320
a = 17. 89 centimeters
Thus, the greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
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Round 829.9 to the nearest whole number
Answer: 830
Step-by-step explanation:
Answer:
The nearest whole number is 830
Step-by-step explanation:
In a statistics test, the class average is 76 with a standard deviation of 8. emmy is told that the z-score of her exam score is -1.50. what was emmy's actual score on the exam?
Emmy's actual score in the exam is 64.
What is the Z score of the population?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given,
class average = 76
standard deviation = 8
Z- score = -1.50
The formula of Z-score is -
z = (x-μ)/σ
Where x is the actual score,
μ is the mean,
σ is the standard deviation.
Now putting the values in the formula we get,
-1.50 = (x- 76) / 8
⇒ on solving, we get x = 64
So the actual score of Emmy = 64
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Question 4 (Mandatory) (1 point)
Maya pushes forward a cart of groceries with a total mass of 32 kilograms. What force is
necessary to accelerate the cart by 2 meters per second squared?
Step-by-step explanation:
f=ma
force=mass×acceleration
=32×2
=64N
I need help pleaseeee how can i solve this?
water main valves should be located: select one: a. at infrequent intervals in a grid system. b. so that they correspond with landmarks such as intersections. c. so that they correspond with areas most likely to fail in the system. d. at frequent intervals in a grid system.
Water main valves should be located at frequent intervals in a grid system.
What is a water valve?
The flow and temperature in pipes and plumbing fittings are controlled by water valves. The valves regulate steady flow and volume when they are correctly placed and used. Water valves are made of brass, plastic, stainless steel, bronze, cast iron, and galvanised pipe, among other materials.
The master cutoff valve for the house will typically feature a wheel (a gate valve) or a straight handle (ball valve). The wheel on gate valves (seen on the right) is turned clockwise until the water is shut off. To turn off the water, turn the handle of a ball valve a quarter turn in the opposite direction. Every house has two main water shutoff valves: one inside and one near the intersection of your property and the street.
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In the diagram below, AB is parallel to CD. What is the value of x?
Answer: C. 45°
Step-by-step explanation:
These two given angles are corresponding angles. Corresponding angles are always equal to each other. In other words, they are congruent.
x° = 45°
Which term describes a geometric statement that is assumed to be true without proof?
Answer: A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.
Step-by-step explanation:
Hope this helps you! :) have an amazing day! ^-^
some friends decided to equally split the cost of gas on their trip. the expression 3g4 represents how much money each person had to pay in dollars for g gallons of gas. what does the expression 3g in the numerator represent?
The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.
FractionGiven expression:3g / 4
where,
g = how much money each person had to pay in dollars for g gallons of gas3 = Number of gallons of gas4 = Number of friendsThe numerator is the upper value or top value in a fractionThe denominator is the lower value or bottom value in a fraction.Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.
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HELP I WILL GIVE BRAINLIEST!!!! 14. Select all the situations that could be represented by the expression 40. (-18).
A hot air balloon descends 18 inches per a second for 40 seconds.
A hot air balloon ascends 40 inches per a second for 18 seconds.
Trey withdraws $18 from his checking account once a week for 40 weeks.
Suzanne deposits $18 into her savings account once a week for 40 weeks.
Morty withdraws $40 from his checking account once a month for 18 months.
I think that it is the 2nd one and the 5th one.
I hope that this helps! :)
m³ = 0.125
How do I break this down to get the answer
Answer:
m = 0.5
Step-by-step explanation:
Step 1 : Take the cube root of it.
Basically what this means is that you multiply the reciprocal of it to the 0.125
Like this:
m^3 = 0.125 ---------> m = 0.125 (1/3)
Step 2: Solve
m = 0.125 (1/3)
m = 0.5
I hope this helps!
Which choice is equivalent to the expression shown below?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
Answer:
m
Step-by-step explanation:
14.
Herman is standing on a ladder that is
partly in a hole. He starts out on a rung
that is 6 feet under ground, climbs up
14 feet, then climbs down 11 feet.
What is Herman's final position, relative
to ground level?
Answer:
Step-by-step explanation: His final position relative to ground level should be -3. If he starts out 6 feet under ground that is a negative number. So we have -6. Then he climbs up 14 feet. So we are going to add -6+14 which equals 8. Next it says he climbs down 11 feet. So we have a -11 and we will do 8-11=-3.
So -3 is the answer
Hope this helps.
(3.85 x 103) - (1.4 x 102) In scientific notation I need ASAP plss
Ill give points
On a number line, suppose the coordinate of A is 0, and AR = 17. What are the possible coordinates of the midpoint of AR ?
Step-by-step explanation:
The coordinate of A is 0. It is given that AR = 17. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.
Point R is on Right side of A i.e. at coordinate 17
Point R is on Left side of A i.e. at coordinate -17
In both of these cases AR which is the distance from A to R will be 17.
So, if R is on Right side of A, the midpoint of AR would be:
0+17
÷ = 17/2 = 8.5
2
Or if R is on Left side of A, the midpoint of AR would be:
0-17
÷ = -17/2 = -8.5
2
Thus, the possible coordinates of the midpoint of AR are 8.5 and -8.5
Which number represents the length
1/3x +(2x+8) +x=205
Answer: x=59 1/10 x=59.1
Step-by-step explanation:
-3 5/6x4 1/2 is my question
After the solution, the answer to the given fraction [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex] is 9.75.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex]:
[tex]-3\frac{5}{6} *4\frac{1}{2}[/tex](-18+5)/6 × (8+1)/2-13/6 × 9/2117/12= 9.75Therefore, the solution of the given fraction is 9.75.
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A professional basketball player needs to score more than 40 points in the last game of the season to win the scoring title. He only shoots 1-point free throws, X, and 2-point regular shots, y
Which combination is possible so the basketball player wins the scoring title?
A
B.
C.
D.
10 free throws, 10 regular shots
11 free throws, 11 regular shots
13 free throws, 14 regular shots
14 free throws, 13 regular shots
Answer:
A
Step-by-step explanation:
A i tunk
Find the value of the variable and Y Z if Y is between X and Z.
X Y=11 d, Y Z=9 d-2, X Z=5 d+28
For the given line segment, the value of variable d is 2 units and the value of YZ is 16 units.
Given that, Y is between X and Z.
We need to find the value of the variable and YZ.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Given that, XY=11d, YZ=9d-2, XZ=5d+28
Here, the line segment XZ is sum of XY and YZ
That is, XZ=XY+YZ (∵Y is between X and Z)
⇒5d+28=11d+9d-2
⇒5d+28=20d-2 (Add like terms that is 11d+9d=20d)
⇒20d-5d=28+2
⇒15d=30
⇒d=2
So, YZ=9d-2
=9×2-2=18-2
=16
Therefore, the value of variable d is 2 units and the value of YZ is 16 units.
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6,842 rounded to the nearest thousand
Answer:
7,000
Step-by-step explanation:
6,842 is more than 6,500 so u round to 7,000
I NEED HELP FAST‼️‼️‼️
What is the constant rate of change of the graph below?
20
10
3
2
Answer:
20
Step-by-step explanation:
What is the length of one side if the area of a square is 16 m²
Answer:
s = 4 m
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 16 m² , then
s² = 16 ( take square root of both sides )
s = [tex]\sqrt{16}[/tex] = 4 m
Answer:
4m
Step-by-step explanation:
All the sides of a square are equal lengths. So 2 numbers that are the same must equal 16m^2.
A number times itself is known as a square number. The value of this square number is 16 m².
It can be shown like this:
a²= 16 m² or a×a = 16 m²
The reverse of squaring numbers is square root. To find the value of one side you can do √16. √16 = 4. We can check this by substituting (replacing) 4 in the place of 'a' to see if the answer is 16.
a×a = 16 m²
4 × 4 = 16
Therefore, the length of one side of the square equals to 4m.
I need help please....................
Answer:
14
Step-by-step explanation:
A+different+class+has+285+students,+and+58.6%+of+them+are+men.+how+many+men+are+in+the+class?
Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
According to the given question.
Total number of students in the class is 285.
And 58.6 percent of the total students are men.
As we know that, a relative value indicating hundredth parts of any quantity is called a percent.
Therefore,
the total number of men in the class
= 58.6 percent of 285
= (58.6/100) × 285
= 0.586 × 285
= 167.01
Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
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below is a stem and leaf plot from minitab of the number of sick days for employees. find the median.
Median for the number of sick days of the employees is 5
Define Quartile?
A statistical phrase that splits the data into four quarters is called a quartile. On the number line, it essentially separates the data points into a data set into four quarters. It essentially serves as an extended middle. Data is divided into two equal parts by the median, and into four parts by the quartiles.
Solution:
Stem and leaf plot from Minitab of the number of sick days of the employees is,
2, 3, 3, 5, 7, 10, 10, 7, 5, 3, 2
Arrange the numbers in the ascending order,
2, 2, 3, 3 ,3, 5, 5, 7, 7, 10, 10
Here,
[tex]number\;of\;data=10[/tex]
We know that the Quartile 2 is spilt the data in to two like median,
[tex]Q_{2}=(\frac{n+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{11+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{12}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=6 ^{th\;term}[/tex]
Therefore, the 6th term is, 5
Median = 5
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If 6x + 15 = 27, what is the value of
2x +5?
Answer:
9
Step-by-step explanation:
6x+15=27
6x=27-15
6x=12
x=2
2x+5=(2)(2)+5
= 4+5
= 9
Nora has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 155 points for a free movie ticket. What is the least number of visits she needs to make in order to earn a free movie ticket?
Nora needs to visit at least 11 times in order to earn a free movie ticket .
"At least" generally refers to the minimum. Any number greater than the specified number is possible. You can also use "at least" to emphasize or moderate the impact of a statement.An inequality is a relationship that indicates that two numbers or mathematical expressions are not equal when compared.Let the number of visit to the movie theater be " x " .
According to the question She earns 12.5 points for each visit to the movie theater .
Total number of points in " x " number of visit will be [tex]=12.5x[/tex]
She also receives 20 rewards points just for signing up.
Total points will be [tex]=20+12.5x[/tex]
She needs at least 155 points for a free movie ticket which means minimum to minimum she needs 155 points .
[tex]20+12.5x\geq 155[/tex]
On simplifying the above inequality , we get
[tex]12.5x\geq 155-20\\12.5x\geq135\\x\geq 10.8[/tex]
As , visits can't be in point so , on rounding off Nora needs to visit 11 times to the movie theater.
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What is the length of RT? A 5units B 7units C 8units D 9units
The length of line segment RT is 8 units
How to determine the length of RT?The given triangles are similar triangles
So, we have the following similarity ratio
RS : RT = QC : QY
Substitute the known values in the above equation
4 : RT = 3 : 6
Express as fractions
RT/4 = 6/3
Multiply through by 4
RT = 4 * 6/3
Evaluate
RT = 8
Hence, the length of RT is 8 units
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You invested some money in a start-up company, and now your investment has gained 60% and is worth $6,720. how much was your original investment?
Your original investment in a start-up company was $4200
Let you invested x dollars in a start-up company.
Now your investment has gained 60% and is worth $6,720.
We write above statement as a mathematical expression.
From given information, x + (60 percent of x) = 6720
So we get an equation,
x + (0.6 x) = 6720
We solve above equation for x.
1.6 x = 6720
x = 6720 / 1.6
x = 4200 dollars
This means, initially you invested $4,200
Therefore, your original investment in a start-up company was $4200
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