Answer:
1/(x^2 +6x)
Step-by-step explanation:
The denominators used in your difference must have factors of x, (x-6), and (x +6). The only two tiles that have denominator factors on this list are the one you found, (x+2)/(x^2 -36), and the middle remaining one:
\(\dfrac{1}{x^2 +6x}=\dfrac{1}{x(x+6)}\)
Your difference is ...
\(\dfrac{x+2}{x^2-36}-\dfrac{1}{x^2 +6x}=\dfrac{x^2+x+6}{x(x-6)(x+6)}\)
__
You can work out the sum on the left side to verify this.
\(\dfrac{x+2}{x^2-36}-\dfrac{1}{x^2 +6x}=\dfrac{x(x+2)-1(x-6)}{x(x-6)(x+6)}=\dfrac{x^2+2x-x+6}{x(x-6)(x+6)}\)
Combining the two 'x' terms in the numerator of the last expression on the right gives the desired result.
1. (8 points) Is there any relationship between date of patient admission for treatment of alcoholism and patient's birthday? Assuming a 365-day year, in the absence of any relation, patient's admissi
The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.
The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:
X² = ∑(observed - expected)² / expected
The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.
To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.
Category 1: expected frequency = 49, observed frequency = 12
Category 2: expected frequency = 49, observed frequency = 22
Category 3: expected frequency = 49, observed frequency = 65
Category 4: expected frequency = 49, observed frequency = 97
Using the formula above, we can calculate the test statistic:
X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]
X² = 37.96
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Complete Question:
An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.
Anne bought a piece of ribbon that is 7 over 9 m long. She used 3 over 18 m of it to tie a birthday present. She then used the remaining ribbon to form squares of sides 1 over 16 m. What was the maximum number of squares she could form?
Answer:
9 squares
Step-by-step explanation:
Anne bought a piece of ribbon = 7 over 9 m long = 63 m²
she used = 3 over 18 m = 54 m²
left = 9 m²
maximum number of squares she could form of 1 m = 9
What is the name of the shape
Answer:
it would be a kite
Step-by-step explanation:
2 pairs of equal sides opposite to each other
Answer: It looks to be an Irregular Quadrilateral, but I could be wrong.
Step-by-step explanation:
An irregular quadrilateral is a quadrilateral with four sides that are not regular or the same.
A regular quadrilateral must have 4 equal sides, and 4 equal angles, and its diagonals must bisect each other.
hope this helps:)
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
A shop sells floor tiles at Rs 48 per square meter. A
building contractor employees
machine that polishes
the tiles that damages 10% of the total number of
tiles which cannot be used
any
more. Calculate the
amount that need to be paid by contractor to tile
Shop owner, if the hall is of a square shape and
has a perimeter of 400m
a.Rs 400.000
b.Rs 600 000
c. 528000 d.365000
Answer:
c. 528000
Step-by-step explanation:
The computation of the amount that need to be paid is shown below:
Let us assume the side of the square shaped hall be X meter s
So,
Perimeter = 4X
Now
4X = 400
X = 100m
Now
Area of the hall = 100 × 100 = 10000 sq. meter.
And,
The cost on total tiles is
= 10,000 × 48 = Rs. 480000
But, there is 10% damage has occurred that involved in the cost
So,
Total cost is
= Rs 480,000 + 10% of 480,000
= 480,000 + 48,000
= Rs. 5,28,000
Suppose that g is a function from A to B and f is a func- tion from B to C. Prove each of these statements. a) If fog is onto, then f must also be onto. b) If fog is one-to-one, then g must also be one-to-one. c) If fog is a bijection, then g is onto if and only if f is one-to-one. 35 Hind
Suppose that g is a function from A to B and F is a function from B to C.
a) If fog is onto, then f must also be onto.
Assume that f∘g is onto. Let c ∈ C . Since f∘g is onto, then is a ∈A such that c = (f∘g) (a) by the definition of onto function. By the definition of function composition, c = f(g(a)). Let b = g(a). This b belongs to B and is such that c = f(b) . Therefore, for every c ∈ C , there is b ∈ B such that c = f(b). By the definition of onto function, f is onto.
(b) If fog is one-to-one, then g must also be one-to-one.
Let \(a_1,a_2\) ∈ A such that \(g(a_1)=g(a_2)\). Then
(f∘g)\((a_1)\) = \(f(g(a_1))=f(g(a_2))\) = (f∘g)\((a_2)\)
Since f∘g is one - to - one, \(a_1=a_2\). Therefore, for all \(a_1,a_2\) ∈ A such that
\(g(a_1)=g(a_2)\), \(a_1=a_2\). By the definition of one-to-one function, g is one-to-one. \(b_1=g(a_1)=g(a_2)\)
(c) If fog is a bijection, then g is onto if and only if f is one-to-one.
Assume that f∘g is a bijection.
Assume that g is onto. Let \(b_1,b_2\) ∈ B such that \(f(b_1)=f(b_2)\). Since g is onto, by the definition of onto function, there are \(a_1,a_2\) ∈A such that
\(b_1=g(a_1) and b_2=g(a_2)\) We have
(fog)\((a_1)\) = \(f(g(a_1) )=f(b_1)\)
= \(f(b_2) =f(g(a_2))= (fog)(a_2)\)
Since fog is a bijection, it is one-to-one, hence \(a_1=a_2\), and
\(b_1=g(a_1)=g(a_2)=b_2\)
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Find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answer:
10 feet
Step-by-step explanation:
I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
HELP ME PLEASE IM SO MAD UGHH
Answer:
y= up 5 over 10 x+40
Step-by-step explanation:
Answer:
slope is 1/2
Step-by-step explanation:
it rises 1 and runs 2
Write the equation of the line with a slope of 3/4 and a y'-intercept of -7 in Slope-Intercept and Poin Slope Form.
Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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is it me or are people wilden with inappropriate things today on brainly?
Answer: Man, I agree with u.
Step-by-step explanation:
Answer:
hmm havent noticed
Step-by-step explanation:
ppl are wierd that's why I'm an attack helicopter....
please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
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a student spelled 92% of the words on a spelling test correctly. If the test had 25 questions, how many words did the student spell correctly
Answer:
23
Step-by-step explanation:
25*92%=23
answer:
I guess its 23
description:
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
Use factoring to solve the polynomial equation. Check by substitution or by using a graphing utility and identifying
x-intercepts.
8x4-32x² = 0
Rewrite the equation in factored form.
(Blank)=0
Then what is the solution pair?
The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2
Using factoring to solve the polynomial equationTo solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:
8x²(x² - 4) = 0
Now we can use the difference of squares identity to factor the quadratic expression:
8x²(x + 2)(x - 2) = 0
Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.
Therefore, we can set each factor equal to zero and solve for x:
8x² = 0 or x + 2 = 0 or x - 2 = 0
Solving for x, we get:
x = 0 or x = -2 or x = 2
So the solution set for the equation is {0, -2, 2}.
To check the solution, we can substitute each value into the original equation and verify that it equals zero.
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3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
Find the slope of every line that is perpendicular to the graph of the equation:
y-5x=7
Answer:
\(m=-\frac{1}{5}\)
Step-by-step explanation:
?????????help pls??????????
Answer:
distributive property
Step-by-step explanation:
i think its distributive property
- 3X + 6Y = 0 and x+7y=9
A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
which of the following are roots of the polynomial function f9X0=x^3+3x^2-9x+5
a. 1+square3
b. 1-square3
c.1
d.3+square2
e.-5
f.3-sqaure2
more than one answer
Which is the graph of the equation ?
Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?
y – 2 = 3(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y – 3 = 2(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y + y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis. = 3(x – 2)
y + y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis. = 2(x – 3)
The equation of the line that has a slope of 3 and passes through the given point is expressed in point-slope form as: y + 1/2 = 3(x - 2).
What is the Equation of a Line in Point-slope Form?The equation that represents a straight line graph can be expressed in point-slope form where (a, b) is a point on the line and m is the slope of the line as, y - b = m(x - a).
Given the line has a slope (m) that is 3, and passes through the point (a, b), which is (2, -1/2), to write the equation of the line in point-slope form, substitute m = 3, a = 2, and b = -1/2 into the equation y - b = m(x - a):
y - (-1/2) = 3(x - 2)
Simplify
y + 1/2 = 3(x - 2) [equation of the line in point-slope form].
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Answer:
It's C, Took the test on edge 2022 .
Step-by-step explanation:
Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.
solve for x NEED ANSWER NOW PLSSSSSSSSSSSSSSS HEEEEEEEEEELPP
The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2
Solving Linear EquationsFrom the question, we are to solve the given linear equation.
The given linear equation is
-6 1/4x = -3 1/8
To solve the equation,
First, we will convert the fractions to improper fractions
-6 1/4x = -3 1/8
-25/4x = -25/8
Multiply both sides of the equation by -4/25
-4/25 × -25/4x = -4/25 × -25/8
x = 1/2
Hence, the value of x is x = 1/2
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what is the value of the expression shown below
2 3/5 - 1 3/5
^ ^
TWO THREE-FIFTHS MINUS ONE THREE-FIFTHS
THE NUMBERS ARE MIXED FRACTIONS
Answer:
1
Step-by-step explanation:
1. One way to do this is converting both into improper fractions. To do this, multiply the whole number by the denominator and add that to the numerator.
2 3/5 --> 2*5 is 10 --> 10+3 is 13. --> 13/5
2. This leaves us with 13/5 - 8/5
3. Subtract the numerators
13/5 - 8/5 = 5/5
4. Simplify. If the numerator is the same number as the denominator, it's a whole number.
5/5 = 1
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
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find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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If the measure of angle a is 112 the measure of angle b is 112. True or false.
Answer:
False
Step-by-step explanation:
Angles a and b add to 180° (linear pair), so angle b is 68°.