Answer:
.
Step-by-step explanation:
it’s too small, i know how to solve this but i can’t read anything.
give 3 similarities between Polynomial Long Division and Regular long division ( with just numbers)
Polynomial long division and regular long division (with just numbers) have several similarities. Firstly, both methods follow the same basic steps and principles. Secondly, they both involve dividing one number or polynomial by another to find the quotient and remainder. Finally, both methods rely on repeated subtraction and multiplication to determine the next digit or term in the division process.
Both polynomial long division and regular long division share the same fundamental steps and principles. In both methods, the dividend is divided by the divisor, and the quotient and remainder are determined. The process involves dividing, subtracting, multiplying, and bringing down digits or terms. The structure and algorithm used for both types of division are fundamentally the same.
Additionally, both methods aim to find the quotient and remainder. Whether dividing numbers or polynomials, the objective is to determine how many times the divisor can be subtracted from the dividend and what remains afterward. Both polynomial long division and regular long division provide a systematic approach to solve this problem.
Furthermore, both methods rely on repeated subtraction and multiplication to progress through the division process. In regular long division, we subtract multiples of the divisor from the dividend while multiplying the quotient digit by the divisor in each step. Similarly, in polynomial long division, we subtract multiples of the divisor polynomial from the dividend polynomial while multiplying the quotient term by the divisor polynomial.
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Dabriah had 3 bags of cookies containing x cookies each. Her friend gave her 7 more cookies. Write an expression for this situation 3b + 7c b) If there are 9 cookies in each bag, how many cookies does Dabriah have in total?
Answer: 34 delicious cookies.
Step-by-step explanation:
(look in attachment for explanation)
A- 63
B- 125
C-44
D-45
Answer:
So, the sum of the 3 angles in a triangle is 180.
What you would do is:
180= 73+6x-4+7x+7.
Then, you add the common coefficients:
180=76+13x
Then you subtract:
104=13x
Then you divide:
x=8.
Then substitute the x value into the A value to get 44, meaning that C is the correct answer.
бу – 5 = -3(2y + 1)
Solve each equation
Answer:
y = 1/6
Step-by-step explanation:
6y - 5 = (2y + 1)
move the parentheses
6y - 5 = 6y - 3
move the terms
6y + 6y = -3 + 5
collect like terms and calculate
12y = 2
divide both sides
answer:
y = 1/6
The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identify g in vertex form.
The function g in vertex form is g (x) = –5x^2 – 3.
In this case, the parent function is:
f (x) = x^2
First, after the reflection across the x-axis, we will get:
f (x) = –f (x)
And, the function will be:
g (x) = –x^2
Then, vertically stretched by a factor of 5, we will get:
g (x) = –5x^2
Last, translated 3 units down, we will get:
g (x) = –5x^2 – 3
Thus, the vertex form of the function g will be:
g (x) = –5x^2 – 3
What is translation?In mathematics, a translation is a transformation which occurs when a figure is moved from one location to another location without changing its size or shape.
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14. In right triangle PQR shown below, altitude QS is drawn to PR from Q. If PQ-9 and RP=16, determine
the length of SR to the nearest hundredth.
The length of SR to the nearest hundredth is approximately 13.12 units.
What is Pythagoras theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can use the Pythagorean theorem to find the length of QR, which is the hypotenuse of right triangle PQR:
PQ² + QR² = PR²
Substituting in the given values:
(9+x)²+ QS² = 16²
We know that QS is the altitude from Q to PR, which means it is also the height of triangle PQR. We can use the area of triangle PQR to find the length of QS:
area of PQR = (1/2) * PQ * QS = (1/2) * 9 * QS
area of PQR = (1/2) * QR * QS = (1/2) * 16 * QS
Since the area of PQR is the same, we can set these two equations equal to each other and solve for QS:
(1/2) * 9 * QS = (1/2) * 16 * QS
9QS = 16QS
QS = (16/9) * x
Substituting this value for QS into the equation we set up earlier:
(9+x)²+ [(16/9)*x]²= 16²
Simplifying and solving for x:
81 + 18x + x²+ 256x²/81 = 256
x²+ 18x + 81 + 256x²/81 - 256 = 0
81x² + 1458x + 6561 + 20736x² - 20736(81) = 0
2889x² + 1458x - 127008 = 0
Using the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / 2a
where a = 2889, b = 1458, and c = -127008
x = (-1458 ± sqrt(1458² - 4(2889)(-127008))) / 2(2889)
x = (-1458 ± sqrt(5872034)) / 5778
x ≈ 13.12 or x ≈ -21.89
Since x represents a length, we take the positive value as our answer:
x ≈ 13.12
Therefore, the length of SR to the nearest hundredth is approximately 13.12units.
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Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the
original pyramid?
Answer:
27:1
Step-by-step explanation:
If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.
Volume of Pyramid = \(\frac{length * width * height}{3}\)
Volume Pyramid 1 = \(\frac{3*3*3}{3}\) = 9
Volume Pyramid 2 = \(\frac{9 * 9 * 9}{3}\) = 243
243/9 = 27/1 or 27:1
Answer:
The new volume is 27 times the original volume.
Edgenuty
2 + cscsecx/cscsecx = (sinx+cos)
Answerk bzijnjlngljntgojengojnetgihnrtgkte4wg
Find the slope of the line passing through the points (-9, -6) and (-4, 5)
Answer:
-1.4
Step-by-step explanation:
rise over run y2-y1 (top) and x2-x1 (bottom)
0. the population mean annual salary for acme corporation is $63,500. what is the probability that the mean salary of a person selected at random will have a salary that is less than $61,000? assume ????
To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.
First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:
Z = (X - μ) / (σ / √n)
Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)
Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.
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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.
To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.
Let's assume the sample standard deviation is $5,000.
First, we calculate the z-score:
\(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5
Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.
Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.
In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
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we want to perform a hypothesis test to estimate the true proportion of students who work part-time jobs during high school. what type of distribution should we use for this test?
For hypothesis testing involving proportions, the appropriate distribution to use is the binomial distribution.
For hypothesis testing involving proportions, the appropriate distribution to use is the binomial distribution.
This is because we are interested in the number of successes (students who work part-time jobs) out of a fixed number of trials (students in the sample), which is the definition of a binomial experiment.
The proportion of students who work part-time jobs can be estimated using the sample proportion, which is the number of students who work part-time jobs divided by the total number of students in the sample.
We can then perform a hypothesis test to determine whether this sample proportion is significantly different from the hypothesized true proportion.
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I need to find x pls help
Set x is the set of all multiples of 6 between 15 and 70
Hello Human <3
Here is the answer:
X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }
Step-by-step explanation:
What is the slope of the line . Khan academy. Need help . Explain if you can
Answer:
The slope is \(\frac{2}{5}\), or 2 over 5.
Step-by-step explanation:
Slope = rise over run
Rise is 2
Run is 5
Slope is 2 over 5
Answer:
2/5
Step-by-step explanation:
can u pls help me with my ixl :)
The y-intercept of the line y= -2x-11 is -11
The equation is
y = -2x-11
Rearrange the terms of the given equation
2x+y= -11
We have to convert this equation in to the two intercept form of the line
Two-intercept form of the line (x/a) + (y/b) = 1
Where a is the x-intercept of the line and b is the y-intercept of the line
The equation is
2x+y = -11
Divide both side by -11
\(\frac{2x+y}{-11}=\frac{-11}{-11}\\\frac{x}{-\frac{11}{2} }+\frac{y}{-11}=1\)
The two intercept form the the line = \(\frac{x}{-\frac{11}{2} }+\frac{y}{-11}=1\)
The x- intercept of the line = -11/2
The y-intercept of the line = -11
Hence, The y-intercept of the line y = -2x-11 is -11
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If 4x+Y=13 x-y then y=
there are 36 possible outcomes for rolling two dice (6 outcomes for the first dice times 6 outcomes for the second dice.) what is the probability of both dice coming up with the same number?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
What is meant by probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability. Calculating a result or an event's likelihood is known as simple probability. To calculate the likelihood of having to pay out a claim, insurance firms employ probability statistics. A simple probability is computed by dividing a particular result by all potential results.
There are now 36 distinct ways the dice can land when two of them are rolled. This amount is calculated by multiplying the first die's possible outcomes (six) by the second die's possible outcomes (six). 6 x 6 = 36.
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20 Alex and Chris share sweets in the ratio Alex : Chris = 7:3.
Alex receives 20 more sweets than Chris.
Work out the number of sweets Chris receives.
Answer:
Alex:Chris 35:15
Step-by-step explanation:
7-3 (ratios)= 4
20 sweets= 4:1
20÷4= 5
5×7= 35 (how many sweets Alex got)
5×3= 15 (how many sweets Chris got)
Alex got 20 more sweets than Chris
(sorry if you didn't understand how I explained it)
A cat gave birth to 333 kittens who each had a different mass between 147147147 and 159\,\text{g}159g159, start text, g, end text. Then, the cat gave birth to a 4^{\text{th}}4 th 4, start superscript, start text, t, h, end text, end superscript kitten with a mass of 57\,\text{g}57g57, start text, g, end text.
The answer to the question is 334 kittens.
Given that a cat gave birth to 333 kittens who each had a different mass between 147 g and 159 g. Then the cat gave birth to a 4th kitten with a mass of 57 g.
First of all, we will find out the range of the mass of kittens. The range is given as follows;Range = Maximum Value - Minimum Value Range = 159 g - 147 g Range = 12 g
Now, the cat gave birth to a 4th kitten with a mass of 57 g, we can say that the minimum value of kitten's mass is 57 g.So, the maximum value of kitten's mass can be calculated as follows;Maximum Value = 57 g + Range Maximum Value = 57 g + 12 g Maximum Value = 69 g Now, we can say that all kittens with a mass of 69 g or less would be born because the minimum value of kitten's mass is 57 g and the range of mass is 12 g.
Therefore, the answer to the question is 334 kittens.
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what is 37 1/4 x 24 help me
37 and 1 / 4 = 37 * 6 = 74 * 3 = 222
Using the Standard Normal Table, what is the z-score with an area of 0.6808 to its left?
The area of 0.6808 to its left using the Standard Normal Table.
steps: 1. Identify the area: In this case, the area to the left of the z-score is given as 0.6808.
2. Consult the Standard Normal Table: This table shows the area to the left of various z-scores, ranging from negative to positive values.
3. Locate the closest area value: Look for the value in the table that is closest to the given area (0.6808). The table is typically organized into rows and columns, with the row header representing the first two digits of the z-score and the column header representing the third digit.
4. Identify the z-score: Once you've found the closest area value, determine the corresponding z-score by combining the row and column headers where the value is located.
Upon checking the Standard Normal Table, the closest area value to 0.6808 is 0.6800, which corresponds to a z-score of 0.47.
Keep in mind that the Standard Normal Table may not have the exact area value of 0.6808, so you need to find the closest possible value.
In summary, the z-score with an area of 0.6808 to its left using the Standard Normal Table is approximately 0.47.
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to avoid problems, preventive maintenance _____.
Answer:
A
Step-by-step explanation:
Define * on R − {1} by a ∗ b = a + b − ab. 1. Prove that (R − {1} , ∗) is an abelian group. 2. Prove that (R − {1} , ∗) is isomorphic to (R ∗ , ·), where R ∗ are the nonzero real numbers. Answer:
Since all the properties hold, we conclude that (R - {1}, *) is an abelian group.
To show that (R - {1}, *) is an abelian group, we need to verify the following properties:
Closure: For any a, b ∈ R - {1}, we have a * b ∈ R - {1}. To see this, note that a + b - ab ≠ 1 since either a ≠ 1 or b ≠ 1 (or both), so a * b is well-defined and belongs to R - {1}.
Associativity: For any a, b, c ∈ R - {1}, we have (a * b) * c = a * (b * c). To see this, we compute:
(a * b) * c = (a + b - ab) * c = ac + bc - ab*c = a * (c + b - cb) = a * (b * c),
where we used the fact that multiplication is associative and distributive over addition in R.
Identity: There exists an element e ∈ R - {1} such that a * e = a = e * a for any a ∈ R - {1}. To find e, we solve the equation a + e - ae = a for any a ≠ 1, which gives e = 0. Thus, 0 is the identity element of (R - {1}, *).
Inverse: For any a ∈ R - {1}, there exists an element b ∈ R - {1} such that a * b = e = b * a. To find b, we solve the equation a + b - ab = 0, which gives b = (a-1)/a. Note that b ≠ 1 since a ≠ 1, and b is well-defined since a ≠ 0. Moreover, we have:
a * b = a + (a-1)/a - a(a-1)/a = (a-1) + (a-1)/a = e,
and similarly, b * a = e. Thus, b is the inverse of a in (R - {1}, *).
Commutativity: For any a, b ∈ R - {1}, we have a * b = b * a. To see this, we compute:
a * b = a + b - ab = b + a - ba = b * a,
where we used the commutativity of addition in R.
To show that (R - {1}, ) is isomorphic to (R, ·), we need to find a bijective function f : R - {1} → R* such that f(a * b) = f(a) · f(b) for all a, b ∈ R - {1}. Let's define f as:
f(a) = 1/(1-a) for all a ∈ R - {1}.
Note that f is well-defined and bijective since a ≠ 1 implies that 1-a ≠ 0, and we have:
f(a * b) = f(a + b - ab) = 1/(1 - (a+b-ab)) = 1/((1-a) * (1-b)) = f(a) · f(b)
for all a, b ∈ R - {1}, where we used the fact that multiplication is distributive over addition and the formula for the inverse of a product in R*. Thus, f is an isomorphism between (R - {1}, ) and (R, ·).
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Use the Integral Test to determine whether the series is convergent or divergent given ∑1n5
from n=1 to infinity?
The integral test is used to find whether the given series is converged or not. The convergence of series is more significant in many situations when the integral function has the sum of a series of functions.
Solving the problem∫1+∞f(x)dx exists finite ⇒ ∑+∞ (n=1) an coverges.
we know ∫1+∞ 1/x^5dx= (-1/4x^4)1+∞ = 1/4, which is finite, so the series converges.
(If this is wrong you have every right to report me)
I hoped this helped <3333
513 divided by 23 math
Answer:
22.3
Step-by-step explanation:
The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?.
Percentage of the student body exists at least 21 years old exists 50%.
What is meant by normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
As one moves away from the center, values start to taper off and the majority of values are concentrated in this area. In a normal distribution, the mean, mode, and median are identical measures of central tendency.
When given a normal or Symmetric distribution, the mean of the distribution exists at the center with 0.5 or 50% of the distribution to either side (right and left) of the distribution.
Therefore, if the mean = 21 ; then the percentage of student body with at least 21 years is the percentage to the left of the distribution, which exists 50%.
P(x ≤ 21) = 0.5 = 50%
Therefore, 50 percentage of the student body exists at least 21 years old
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What is the angle between the vectors − 2i 3j k and i 2j − 4k?
The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.
v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)
= -2 - 6 + 1 = -7
|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
=\(\sqrt{(4 + 9 + 1)}\)
=\(\sqrt{14}\)
|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16) }\)
= (\(\sqrt{21}\)
θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))
= |A| (-7/21*14)
= |A|(-7/294)
= 137.8 degrees
The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is
\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
= \(\sqrt{(4 + 9 + 1)}\)
= \(\sqrt{14}\).
The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is
\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16)}\)
= \(\sqrt{21}\)
Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.
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a poll is conducted the day before a mayoral race. the democratric candidate seems to have an edge, as 53 % of likely voters favor her. the margin of error for this poll is 2.5 percentage points. find the confidence interval. should the democratic candidate feel confident that she will win?
we would expect the result to be within 3 percentage points of the true population value 95 of those times.
sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.
The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.
A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,
we would expect the result to be within 3 percentage points of the true population value 95 of those times.
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The sides of a rectangle are -5x + 10 and x – 4. Write an expression for its perimeter.
Answer:
-8x+12
Step-by-step explanation:
Solve:
2(-5x + 10) + 2(x-4)= perimeter
-10x+20 + 2x-8= perimeter
-8x+12= perimeter
Hope this helps! :)
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
Answer:
Is this an incomplete question?
Answer:
this isnt a question???
Step-by-step explanation: