Answer:
The answer is not "REMAINDER" it's "Quotient"
Step-by-step explanation:
Cancelling identical factors in the numerator and the denominator will give the quotient.
When dividing polynomials using factorization, cancelling identical factors in the denominator and the numerator will give the remainder.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given that when dividing polynomials using factorization, cancelling identical factors in the denominator and the numerator will give the remainder.
A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is also known as the integer portion of a division, a fraction, or a ratio.
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Arrange the numbers in scientific notation from greatest to least according to their values. 3.1 × 10-2 2.01 × 10-3 4.2 × 10-5 1.03 × 10-1 2.32 × 10-
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
Hope this helps you!
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
In the study of a nonlinear spring with periodic forcing, the equation y prime prime plus ky plus ry cubedy′′+ky+ry3equals=Upper A cosine omega tAcosωt arises. Let kequals=44, requals=33, Aequals=77, and omegaωequals=88. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0)equals=0, y prime (0 )y′(0)equals=1.
Answer:
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
Step-by-step explanation:
THe interpretation of the given question is as follows:
y'' + ky + ry³ = A cos ωt
Let k = 4, r = 3, A = 7 and ω = 8
The objective is to find the first three non zero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0 ; y' (0) = 1
SO;
y'' + ky " ry³ = A cos ωt
where;
k = 4, r = 3, A = 7 and ω = 8
y(0) = 0 ; y' (0) = 1
y'' + 4y + 3y³ = 7 cos 8t
y'' = - 4y - 3y³ + 7 cos 8t ---- (1)
∴
y'' (0) = -4y(0) - 3y³(0) + 7 cos (0)
y'' (0) = - 4 × 0 - 3 × 0 + 7
y'' (0) = 7
Differentiating equation (1) with respect to t ; we have:
y''' = - 4y' - 9y² × y¹ - 56 sin 8t
y''' (0) = -4y'(0) - 9y²(0)× y¹ (0) - 56 sin (0)
y''' (0) = - 4 × 1 - 9 × 0 × 1 - 56 × 0
y''' (0) = - 4
Thus; we have :
y(0) = 0 ; y'(0) = 1 ; y'' (0) = 7 ; y'''(0) = -4
Therefore; the Taylor polynomial approximation to the first three nonzero terms is :
[tex]y(t) = y(0) + y'(0) t + y''(0) \dfrac{t^2}{2!} + y'''(0) \dfrac{t^3}{3!}+...[/tex]
[tex]y(t) = 0 + t + 7 \dfrac{t^2}{2!} + \dfrac{-4}{3!} {t^3}+ ...[/tex]
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
Which of the following is a key property of the absolute value parent function?
A. It has a slope of 1 on the left half.
B. It is U-shaped
C. It is in quadrants I and ll
D. Its vertex is not at the origin
Answer:
the absolute-value parent function has a slope of 1 on the right half.
I hope this will work fine for you.
Comment if you need more explanation
ThX
Step-by-step explanation:
Work out percentage change to 2 decimal places when a price of £97 is increased to £99.99
Answer:
2.99
Step-by-step explanation:
99.99 - 97 = 2.99
The percentage change to 2 decimal places when a price of 97 is increased to 99.99 is 3.08%
What is percentage change?
Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.
Percentage Change Formulapercentage change formula = [tex]\frac{final value - initial value }{Initial value}[/tex]× 100
According to the given question
We have
initial value = 97
final value = 99.99
therefore,
⇒percentage change = [tex]\frac{99.99-97}{97}[/tex]× 100
⇒percentage change = [tex]\frac{2.99}{97}[/tex]×100
⇒percentage change = 0.0308×100=3.0824
⇒percentage change = 3.08%
Hence, the percentage change to 2 decimal places when a price of 97 increased to 99.99 is 3.08%.
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A 50 gram sample of a substance that's
used to treat thyroid disorders has a k
value of 0.1137.
The question is incomplete. Here is the complete question.
A 50 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.1137. Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer: [tex]t_{1/2}[/tex] = 6.1 days
Step-by-step explanation: Half-life is the amount of time necessary for a substance to reduce to half of its initial value.
To determine half-life through mass of a substance:
[tex]N = N_{0}.e^{-kt_{1/2}}[/tex]
Initially, there are 50 grams. After 1 half-life, there are 25 grams:
[tex]25 = 50.e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{25}{50} = e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{1}{2} = e^{-0.1137.t_{1/2}}[/tex]
[tex]ln (\frac{1}{2} ) = ln (e^{-0.1137.t_{1/2}})[/tex]
ln(1) - ln(2) = -0.1137.[tex]t_{1/2}[/tex]
[tex]t_{1/2} = \frac{- ln(2)}{- 0.1137}[/tex]
[tex]t_{1/2} =[/tex] 6.1
The half-life of the sample substance is 6.1 days.
How many ways can you distribute $4$ identical balls among $4$ identical boxes?
Answer:
5 ways
Step-by-step explanation:
We have to name the cases.
1. 4 - 0 - 0 - 0
2. 3 - 1 - 0 - 0
3. 2 - 2 - 0 - 0
4. 2 - 1 - 1 - 0
5. 1 - 1 - 1 - 1
We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.
There are 35 ways to distribute 4 identical balls among 4 identical boxes
How to determine the number of ways?The given parameters are:
Balls, n = 4
Boxes, r = 4
The number of ways is then calculated as:
(n + r - 1)C(r - 1)
This gives
(4 + 4 - 1)C(4 - 1)
Evaluate
7C3
Apply the combination formula
7C3 = 7!/((7 - 3)! * 3!)
Evaluate the difference
7C3 = 7!/(4! * 3!)
Evaluate the expression
7C3 = 35
Hence, the number of ways is 35
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Find the sum of the positive divisors of 18.
Answer:
39
Step-by-step explanation:
factors of 18= 1, 2, 3, 6, 9, 18
1+2+3+6+9+18=39
Answer:
39
Step-by-step explanation:
The divisors of 18 are ...
1, 2, 3, 6, 9, 18
Their sum is ...
1 + 2 + 3 + 6 + 9 + 18 = 39
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
The sample selected is of size, n = 50.
The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:
[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 49}=2.000[/tex]
*Use a t-table.
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum {x}=\frac{1}{50}\times [6+4+6+...+9+6]=6.34\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{50-1}\times 229.22}=2.163[/tex]
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
[tex]=6.34\pm 2.00\times\frac{2.163}{\sqrt{50}}\\\\=6.34\pm 0.612\\\\=(5.728, 6.952)\\\\\approx(5.7, 7.0)[/tex]
Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
Write an expression:
You bought four
sandwiches that cost
$2.50 each and two
drinks that cost d
dollars each.
Answer:
2d + 10.
Step-by-step explanation:
If four sandwiches cost $2.50 each, you have 4 * 2.5.
If two drinks cost $d each, you have 2 * d.
4 * 2.5 + 2 * d
= 10 + 2d
= 2d + 10.
Hope this helps!
Subtracting polynomials
Answer:
The other polynomial is 11x^2 -3x
Step-by-step explanation:
12x^2 -5x - ( x^2 -2x) = other polynomial
Distribute the minus sign
12x^2 -5x - x^2 +2x
Combine terms
11x^2 -3x
The other polynomial is 11x^2 -3x
Combine the like terms to create an equivalent expression: -12 - 6p - (-2)
Answer:
-6p -10
Step-by-step explanation:
-12 - 6p - (-2)
Subtracting a negative is like adding
-12 - 6p + (2)
Combine like terms
-6p -12+2
-6p -10
Answer:
-6p=10
Step-by-step explanation:
-12 - 6p - (-2) to combine like expression
-12-6p+2
-6p-10 to create equivalent expression an equal sign is used
-6p=10
Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. - n = 95 + n = 95 • n = 95 ÷ n = 95
Answer:
[tex] n * \frac{1}{2} = 95 [/tex]
Step-by-step explanation:
Required:
Select the equation that most accurately depicts the word problem
One-half of a certain number is 95.
Take the certain number to be n.
This statement in equation form will be:[tex] n * \frac{1}{2} = 95 [/tex]
Therefore, the equation that most accurately depicts the word problem is [tex] n * \frac{1}{2} = 95 [/tex]
Although your options are incomplete, but this answer is correct.
The * symbol can be replaced with a dot sign
Answer:
up up up up
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree. Thanks.
Answer:
34
Step-by-step explanation:
uts obtuse angle
Answer:
16°
Step-by-step explanation:
Let x° be the missing angle:
cos x° = 53/55
cos x° = 0.963
using a calculator:
cos^(-1) (0.963) = 15.63 ≈ 16
Please answer this correctly
Answer:
4/7
Step-by-step explanation:
The numbers 7 or odd are 1, 3, 5, and 7.
4 numbers out of 7.
P(7 or odd) = 4/7
When the factors of a trinomial are (x + p) and (x + 9) then the constant term
of the trinomial is:
Answer:
9p
Step-by-step explanation:
(x + p)(x + 9) =
= x^2 + 9x + px + 9p
= x^2 + (9 + p)x + 9p
The constant term is 9p.
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. (Give answers to 2 decimal places) Store's Card Major Credit Card
Sample size 64 49Sample mean $140 $125Population variance $100 $641. A point estimate for the difference between the mean purchases of the users of the two credit cards is:________.2. At 95% confidence, the margin of error is:____________.3. A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is___ to ___.
4. The test statistic for an alpha of .05 is:____________.
Answer:
Step-by-step explanation:
1) Point estimate is the difference between the sample means. Therefore,
A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15
2) Margin of error = z√(σ²/n1 + σ2²/n2)
Where
z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96
s1 and s2 are standard deviation for both customers respectively.
Standard deviation = √variance
σ1 = √100 = 10
σ2 = √641 = 25.32
Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5
At 95% confidence, the margin of error is 7.5
3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error
Confidence interval = 15 ± 7.5
The upper boundary for the confidence interval is
15 - 7.5 = 7.5
The lower boundary for the confidence interval is
15 + 7.5 = 22.5
A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5
4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)
z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)
z = (140 - 125)/√10²/64 + 25.32²/49
z = 1.02
The test statistic for an alpha of .05 is 1.02
A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is
Answer:
150 km
Step-by-step explanation:
1 liter ............ 40 km
15/4 liter .........x km
x = 15/4×40/1 = 600/4 = 150 km
Please help I will mark brainliest for first answer!
Answer:
C.
Step-by-step explanation:
Step 1: Multiply jar weights
12(10) = 120 oz
Step 2: Convert lbs to oz
16 + 14 = 30 oz
Step 3: Add weights
150 oz
Step 4: Convert to lbs
150/16 = 75/8 = 9.375 lbs
9.375 lbs = 9 lbs 6 oz
Write the prime factorization of 24. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
2•2•2•3
24 has factors 2 and 12
12 has factors 2 and 6
6 has factors 2 and 3
The tables show the number of chin-ups done by students in two different gym classes.
Answer:
On average, students in the 4th period Did more chin-ups than students in the 2nd period.
6.1.3
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Answer:
The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
Step-by-step explanation:
A normal-distribution is an accurate symmetric-distribution of experimental data-values.
If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.
If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
A boy has 27 cubes, each with sides the length of 1cm. He uses these cubes to build one big cube. What is the volume of the big cube?
Answer:54
volume:side*side*side
side:1 cm*1 cm *1 cm
answer=icm
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
The sum of two intcgers is -6. If one of them is 2, then the other is
(a) 4
(b) 4
(c) 8
(d) -8
Answer:
D) -8
Step-by-step explanation:
If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)
Hopefully you find this useful :)
Answer: -8
Step-by-step explanation: lets take the unknown number as x,
so we have, 2 + x= -6
by using transposition method, x= -6-2( positive becomes
negative when transpositioning)
so, x= -8
Which property of equality was used to solve this equation?
Answer:
Division property of equality
Step-by-step explanation:
They are dividing both sides.
A certain three-cylinder combination lock has 65 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 65 numbers can be used at each step to form the combination. What is the probability of guessing a lock combination on the first try?
Answer:
1/275,625 ≈ 3.641×10^-6
Step-by-step explanation:
There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.
A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 246 members were looked at and their mean number of visits per week was 2.2 and the standard deviation was 2.6. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? distribution.
b. With 95% confidence the population mean number of visits per week is between and visits.
c. If many groups of 246 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week
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The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24%
Answer: B. 22%
Step-by-step explanation:
Answer:
Yeah its 22%
Step-by-step explanation:
What is the domain of the relation graphed below?
Answer:
domain: (-4,4)
Step-by-step explanation:
i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4
what is the y-coordinate of point 7? Write a decimal coordinates.
Answer:
The y-coordinate is -4.5
Step-by-step explanation:
Point has x-coordinate -3 and y-coordinate -4.5.
Answer:
the y-coordinate is -4.5
Step-by-step explanation:
the x-coordinate is -3
the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.
In between -4 and -5 is -4.5 so the y-coordinate is -4.5
the coordinate of point 7 is ( -3, -4.5)