If the polynomial x5 − 105 can be split as the product of the polynomials x − 10 and a, what is a?
Answer:
Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
Step-by-step explanation:
we know that:
[tex]x^n-a^n=(x-a)(x^{n-1}+ax^{n-2}+a^2x^{n-3}+...+a^{n-2}x+a^{n-1})[/tex]
Here, a=10 and n=5
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000)[/tex]
[tex]x^5-10^5=(x-10)a[/tex]
⇒ [tex]a=x^4+10x^3+100x^2+1000x+10000[/tex]
Hence,Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
The area of a triangle is 27 square feet its height is three times the length of its base find the height and base of the triangle
Cynthia besch wants to buy a rug for a room that is 1313 ft wide and 2222 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 112112 square feet of carpeting. what dimensions should the rug have?
A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given question,
Buying cost of car = $2800
Selling cost of car = $4500
Percentage change = (change/original) × 100
Percentage change = [(4500 - 2800)/(2800)] × 100
Percentage change = [(1700)/2800] × 100
Percentage change = 0.607 × 100
⇒ 60.72%
Hence "The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%".
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Solve for c.
a(c + b)=d
A. c = d + ab / a
B. c = d − ab/b
C. c = d − ab/a
D. c = ab − d/a
Solve for b.
d = 3a + 3b
A. b = 3a−d/3
B. b = d−3a/3
C. b = d − 3a
D. b = d − 3a/ a
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
A = h(a+b)/2
Solve for b.
b=2A−a/h
b=Ah/2 − a
b=2A/h − a
b=2A/h + a
The formula for the perimeter of a rectangle is P = 2(l+w).
Solve for l.
l = 2P − w
l = p−w/2
l = P/2 + w
l = p/2 − w
Answer:
Here is your answer for K12 AZVA:
c = d − a b / a
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Converting improper fractions to mixed numbers questions
How is place value used to read decimals
if f(x)=-6x+12, then f^-1(x)=
Jamir spent $15 on Halloween candy. If each bag of candy costs $2.50, how many bags of candy did he buy?
To find out how many bags of candy Jamir bought with $15, divide the total spent by the cost per bag, which is $2.50. This calculation is similar to finding total spend on fruits by multiplying the quantity by price per unit. Jamir was able to buy 6 bags of candy.
Explanation:To answer the question of how many bags of candy Jamir bought, we need to perform a basic division operation.
The total amount Jamir spent on Halloween candy is $15, and he purchased each bag for $2.50.
Therefore, to find the total number of bags of candy that Jamir bought, we divide the total amount spent by the cost per bag.
Drawing a comparison to similar calculations, if we look at other examples such as spending on fruits, we can see a consistent method of calculation:
10 apples at 50 cents each results in $5.00 spent on apples.
12 bananas at 20 cents each gives us a total of $2.40 spent on bananas.
Similarly, 2 bunches of grapes at 65 cents per bunch would equal a spend of $1.30.
Lastly, if we purchase 1 pint of raspberries at $2 each, we spend $2.00 on raspberries.
The same concept applies to Jamir's Halloween candy purchase. By dividing $15 by $2.50, we get the number of bags he was able to buy, which is 6 bags of candy.
Therefore, Jamir bought 6 bags of Halloween candy with his $15.
Final answer:
Jamir was able to buy 6 bags of Halloween candy for $15, given each bag's price of $2.50.
Explanation:
Jamir spent $15 on Halloween candy, with each bag costing $2.50. To find out how many bags of candy Jamir could buy, we divide the total amount spent by the cost per bag of candy.
The calculation would be as follows:
Divide the total amount spent, $15, by the cost per bag, $2.50.
$15 ÷ $2.50 = 6.
Therefore, Jamir bought 6 bags of Halloween candy.
2 angles, angle A and angle B, form a linear pair. Angle B is an obtuse angle. What type of angle is angle A
Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?
Which is true? A 11.949 > 12.000 B 14.887 < 14.097 C 17.0010 > 17.0100 D 19.0929 < 19.7893
Solve the Quetion and times 50 equals 5000 explain your solution
Find a number whose product with 9 is the same as its sum with 56
Final answer:
The requested number is 7, which when multiplied by 9 or added to 56, gives the same result of 63.
Explanation:
To find a number whose product with 9 is the same as its sum with 56, we set up the equation x * 9 = x + 56. Solving for x, we first distribute the 9 to the x, resulting in 9x = x + 56. Next, we subtract x from both sides to get 8x = 56. Finally, we divide both sides by 8 to find that x = 7. Hence, 7 is the number we are looking for, as 7 * 9 = 63 and 7 + 56 = 63, confirming that the product and the sum yield the same result.
explain too
1.Evaluate the expression.
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
Is this a function?
How would I do this?
p: If two out of five people use the subway every day, then the probability of a person using the subway is 0.4.
2 divided by 5 = 0.4
so that statement is true.
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding
A:$0.10
B:$15.00
C:$1015.00
D:$1015.10
Write a real world description to fit the expression -59/5
A debt of $59 dollars owed by five (5) ladies and will also be divided among them. They borrow $59 dollars to buy the materials for their science project because 3 out of 5 ladies do not have money to spend to their science project.
How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?
Kira and ahmad walk around a track. Kira walks each lap in 10 minutes.Ahmad walks each lap in 12 minutes. The two of them begin at the starting line at the same time.They walks until they meet again at the starting line. How much times does it take for them to meet again at the starting line? How many laps did kira complete? How many laps did ahmad complete Plz help <3
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
3400/60 = 56.6666 minutes/60 = 0.94 hours
63360/5280 = 12 miles
12/0.94 = 12.76 miles per hour for Nina
Nina is faster
what is the solution to the inequality 2n+5 > 1
The solution to the inequality 2n + 5 > 1 is n > -2 after isolating the variable n and simplifying the equation.
Explanation:The solution to the inequality 2n + 5 > 1 involves some basic algebra. First, we should isolate the variable, n, on one side of the inequality. This is accomplished by subtracting 5 from both sides of the inequality which gives us: 2n > 1 - 5.
Simplifying the right side gives us 2n > -4. Then, we need to divide every term by 2 which gives us n > -4/2. Simplifying further, we find that the solution to the inequality 2n + 5 > 1 is n > -2.
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During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
35%
30%
23%
18%
How to you find the cotangent of 5(pi)/6?
An ant is roughly 10 superscript negative 3 meters in length and the average human roughly one meter. how many times longer is a human than an ant?
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice
Answer: It will take 1.75 minutes to travel from Paris to Nice.
Step-by-step explanation:
Since we have given that
Distance between the two cities = 921,000 meters
Since we know that
1 km = 1000 meters
[tex]1\ m=\dfrac{1}{1000}\ km\\\\921000\ m=\dfrac{921000}{1000}\ km=921\ km[/tex]
Speed at which the train travels = 307 km/hr
As we know the formula for time taken:
[tex]Time=\dfrac{Distance}{Speed}=\dfrac{921}{307}=0.029\ hours\\\\Time=0.029\times 60=1.75\ minutes[/tex]
Hence, it will take 1.75 minutes to travel from Paris to Nice.
Determine the slope of a line perpendicular to the line with equation 6x-4y= 30
√(-3) is negative, positive, undefined, or an integer