Answer:
-7ab^2 + 9a^3b
Step-by-step explanation:
(ab^2 - 8ab^2) + ( 3a ^ 3b + 4a ^ 3b + 2a ^3v ) =
-7ab^2 + 9a^3b
last question dont guess :)
hey its me again and it c vecause 9f c
dante's commedia is divided into three books, each containing thirty-three
Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.
The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.
Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.
Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.
Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.
Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.
In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.
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The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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A) NO CHANGE
B) leisurely meals with friends and family.
C) eating slowly and in the company of loved ones
such as friends and family.
D) joining friends as well as family for
time-consuming meals.
The correct choice according to the given passage is leisurely meals with friends and family. The correct option is B.
Given the passage is shown in attached images.
Option B is the best answer. “Leisurely meals with friends and family”
is clear and concise and eliminates unnecessary repetition.
Options other than B are A, C and D are wordy and contain unnecessary repetition: In option A, "hundreds of times" and "stretch feed" are the same. In option C, "relatives including friends and family" are redundant. In option D, "time consuming meals" has a terrible meaning, it really isn't per day given the Slow Food movement's belief that long, quiet meals are beneficial.
Hence, the correct choice from the given passage is to leisurely meals with friends and family.
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∠A=8x−10 ∘
∠B=3x+90 ∘
PLEASE PLEASE HELP OR I WON'T PASS MY MATH CLASS AND I WILL HAVE TO TAKE ANOTHER YEAR OF MATH
Answer:
Step-by-step explanation:
if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)
8x-10=3x+90
5x=100
x=20
if complementary (together equal 90 degrees)
8x-10+3x+90=90
11x+80=90
11x=10
x=(10/11)
which in decimal form is about 0.90
if supplementary (together equal 180 degrees)
8x-10+3x+90=180
11x+80=180
11x=100
x=(100/11)
which in decimal form is about 9.09
Question is in the picture below, please help.
Answer:
A)6 cm B)32 inch
Step-by-step explanation:
A)1 cm:8 inch
(1×6)cm:(8×6)inch
Thus, if the height is 48 inch, the scale in cm is 6 cm
B)Normal linear form
The length=4cm
(1×4) cm:(8×4) inch
Thus, if the scale length is 4 cm, the real painting length will be 32 inch
18/24 greater than or less than 55%
Answer:
I think 55°% is less
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
8551.56
Step-by-step explanation:
\(A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56\)
Which relation is a function?
Answer:
it is on the top left answer A
Jenny needs 1/2 of a stick of butter for a recipe. She cuts the half-stick of butter into four equal pieces. What portion of the whole stick of butter is each of the pieces?.
Each portion will be 1/8 of the whole stick of butter.
We will use the concept of fraction to find the amount of portion of the whole stick of butter.
The available part of stick of butter = 1/2
When it is divided in four parts, we will divide the available amount with four to find the portion of the whole stick of butter.
Portion size = (1/2)/4
Performing the division of fractions
Portion size = 1/(2×4)
Performing multiplication in denominator on Right and Side of the equation
Portion size = 1/8
Thus, the portion size is 1/8.
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Each grape at the supermarket weighs 5 grams. If Eric buys a bag of grapes that weighs 50 grams, how many grapes did he buy?
Answer:
10 grapes
Step-by-step explanation:
50 divided by 5 is 10
How would you describe the following events, of randomly drawing a King OR a card
with an even number?
a) Mutually Exclusive
b)Conditional
c)Independent
d)Overlapping
Events, of randomly drawing a King OR a card with an even number describe by a) Mutually Exclusive.
The events of randomly drawing a King and drawing a card with an even number are mutually exclusive. This means that the two events cannot occur at the same time.
In a standard deck of 52 playing cards, there are no Kings that have an even number.
Therefore, if you draw a King, you cannot draw a card with an even number, and vice versa.
The occurrence of one event excludes the possibility of the other event happening.
It is important to note that mutually exclusive events cannot be both independent and conditional. If two events are mutually exclusive, they cannot occur together, making them dependent on each other in terms of their outcomes.
The correct option is (a) Mutually Exclusive.
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PC=3x+7, can you find PC?
The value of PC is 40 when C is the circumcenter of triangle PQR.
Given that,
Consider the complete question is
C is the circumcenter of triangle PQR.
PC=3x-7
RC=5x-15 &
QC= 51-x
We have find the side PC.
A triangle's vertices are equidistance spaced from its circumcenter.
PC=RC=QC
RC=QC
5x-15= 51-x
5x+x= 51+15
6x=66
x=11
The value of x is 11.
We must determine PC's worth.
Substitute x=11 in the above equation.
PC= 3x+7
PC= 3(11)+7
PC=33+7
PC= 40
Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.
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An alternative under consideration by a company will have fixed
costs of $10,000 per month, variable costs of $20 per unit, and
revenue of $70 per unit. The break-even point volume is:
Break-even point refers to the level of output, sales, or revenue required for a business to have zero profits or losses. It's the stage where a company covers all of its costs but doesn't make any profits.
Therefore, to calculate break-even point volume, we need to use the following formula:
BEPV = Fixed Costs/ (Revenue per unit - Variable cost per unit)
where BEPV is the break-even point volume Given that the alternative under .
consideration by a company will have fixed costs of $10,000 per month, variable costs of $20 per unit, and revenue of $70 per unit, we can substitute these values in the above formula:BEPV = $10,000/($70 - $20)BEPV = $10,000/$50BEPV = 200 units Therefore, the break-even point volume is 200 units.
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: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),
a) X'Y' + X'Y + XY simplifies to X' + Y.
b) A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the functions:
a) Complement is W' + X' + YZ.
b) Complement is (A' + B + C)(A'B' + C' + A'B).
a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:
X'Y' + X'Y + XY
= Y'(X' + X) + XY(Distributive Law)
= Y' + XY(X + X' = 1)
= X' + Y(Commutative Law)
Therefore, X'Y' + X'Y + XY simplifies to X' + Y.
b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:
A'BC' + ABC' + BC'D
= BC'(A' + A) + BC'D (Distributive Law)
= BC' + BC'D(A + A' = 1)
= BC'(BC' + BC'D = BC' + BC'(1) = BC')
Hence, A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the given functions:
a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.
b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).
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Can y’all help me answer these questions
2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!
Answer:
X= Negative 2/3 or -0.6
Step-by-step explanation:
here you go
Find the value of b in the rhombus below.
Answer:
26
Step-by-step explanation:
HELP QUICK!Determine the approximate value of side a.
Answer:
35 degrees PLEASE MARK ME BRAINLIEST
Step-by-step explanation:
I need help please:(((
Answer:
Okay so for number 16
You have 2 parralel lines with a line through it.
Your trying to find the value of x
You have 2 angles given to you
one is 120 degrees whole the other is 5x+140 degrees.
They are corresponding angles. And now in this case corresponding angles are always equal.
So really all you gotta do is
120=5x+140
Now solve
-20=5x
x= -4
So the first one is x=-4
I can’t really see the other ones but here’s all you need to know
Alternate exterior - Equal
Altenrate interior - Equal
Corresponding - Equal
Interior - Not equal
Exterior-Not equal
Use these to guide you
Please quick, mark brainy and 20 points
The answer is d
because you're waiting too long.
Answer:
0.81,74%,5/8,31/50
Step-by-step explanation:
74% means 74/100 which equals to 0.74, and 5/8 is 0.625, and lastly 32/50 is 0.62 so it leaves us with 0.81 as the greatest so we can start ordering them
0.81,74%(0.74),5/8(0.625), 31/50(0.62)
Please answer..........
So I posted the pic of it.
Hope this helps you...
Answer:
Below
Step-by-step explanation:
The mode is the value that appears often
11 appears two times as well as 10
13 appears 3 times
The mode is 13
The median:
The middle numbers are 13 and 10
Sum them and divide the result by 2 to get the median
● 13 + 10 = 23
● 23 ÷ 2 = 11.5
The price of a ticket to a play is $50 per person. On Monday afternoons, the theater reduces the ticket price to $35 per person. Students receive an additional $5 discount on all tickets. What is the percent discount for a student ticket to a Monday afternoon performance?
The original ticket price for a play is $50 per person. On Monday afternoons, the theater reduces the ticket price to $35 per person. This means there is a discount of:
\(\text{Discount = Original price - Reduced price}\)
\(\text{Discount} = \$50 - \$35\)
\(\text{Discount} = \$15\)
Therefore, the discount for a regular ticket to a Monday afternoon performance is $15 per person.
Now, students receive an additional $5 discount on all tickets. This means the total discount for a student ticket to a Monday afternoon performance is:
\(\text{Total Discount = Regular Discount + Student Discount}\)
\(\text{Total Discount} = \$15 + \$5\)
\(\text{Total Discount} = \$20\)
To calculate the percentage discount for a student ticket, we need to divide the total discount by the original ticket price and then multiply by 100:
\(\text{Percentage Discount} = \dfrac{\text{Total Discount}}{\text{Original Price}} ) \times 100\%\)
\(\text{Percentage Discount} = (\dfrac{\$20}{\$50} ) \times 100\%\)
\(\text{Percentage Discount} = 40\%\)
Therefore, the percentage discount for a student ticket to a Monday afternoon performance is 40%.
what equation does this represent?
what is 8.4 divided by 2,247
Answer:
0.00373831776
Step-by-step explanation:
how to solve this? 10x+4y < 12 8x-3y > 20
Answer: mmm
Step-by-step explanation:
mmm
What is the area in square meters of the trapezoid below
Given:
Bases of the trapezoid are 5.2 m and 14.6 m.
The height of the trapezoid is 7 m.
To find:
The area of the trapezoid.
Solution:
The area of a trapezoid is:
\(A=\dfrac{a+b}{2}\times h\)
Where, a,b are bases and h is the height of the trapezoid.
Putting \(a=5.2,b=14.6,h=7\) in the above formula, we get
\(A=\dfrac{5.2+14.6}{2}\times 7\)
\(A=\dfrac{19.8}{2}\times 7\)
\(A=9.9\times 7\)
\(A=69.3\)
Therefore, the area of the trapezoid is 69.3 square meters.
Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths of the triangle?
5√2
2.5
10
5
5√3
45°
Reset
5
Next
45°
The measure of the missing side lengths of the triangle is adjacent side = 5 and hypotenuse = 5√2.
What are trigonometric ratios?
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle.
To find the side of a right triangle:
A right-angle triangle has one of its angles as 90 degrees.
Therefore,
using trigonometric ratios,
tan 45 = opposite/adjacent
tan 45 = opposite / 5
opposite side = (tan 45) * 5
opposite side = 1 * 5 = 5
Therefore,
adjacent side = 5
sin 45 = opposite / hypotenuse
1/√2 = 5 / hypotenuse
hypotenuse = 5√2 /1
hypotenuse = 5√2
Hence, the missing side lengths of the triangle are adjacent side = 5 and hypotenuse = 5√2.
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this is for a final please help i need to pass
A. The factored form of f(x) is (4x - 4)(-4x + 1).
B. The x-intercepts of the graph of f(x) are -1/4 and 4.
C The end behavior of the graph of f(x) is that it approaches negative infinity on both ends.
How to calculate the valueA. To factor the quadratic function f(x) = -16x² + 60x + 16, we can rewrite it as follows:
f(x) = -16x² + 60x + 16
First, we find the product of the leading coefficient (a) and the constant term (c):
a * c = -16 * 1 = -16
The numbers that satisfy this condition are 4 and -4:
4 * -4 = -16
4 + (-4) = 0
Now we can rewrite the middle term of the quadratic using these two numbers:
f(x) = -16x² + 4x - 4x + 16
Next, we group the terms and factor by grouping:
f(x) = (−16x² + 4x) + (−4x + 16)
= 4x(-4x + 1) - 4(-4x + 1)
Now we can factor out the common binomial (-4x + 1):
f(x) = (4x - 4)(-4x + 1)
So, the factored form of f(x) is (4x - 4)(-4x + 1).
Part B: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
f(x) = -16x² + 60x + 16
Setting f(x) = 0:
-16x² + 60x + 16 = 0
Now we can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / (2a)
In this case, a = -16, b = 60, and c = 16. Plugging in these values:
x = (-60 ± √(60² - 4(-16)(16))) / (2(-16))
Simplifying further:
x = (-60 ± √(3600 + 1024)) / (-32)
x = (-60 ± √(4624)) / (-32)
x = (-60 ± 68) / (-32)
This gives us two solutions:
x1 = (-60 + 68) / (-32) = 8 / (-32) = -1/4
x2 = (-60 - 68) / (-32) = -128 / (-32) = 4
Therefore, the x-intercepts of the graph of f(x) are -1/4 and 4.
Part C: As x approaches positive infinity, the term -16x² becomes increasingly negative since the coefficient -16 is negative. Therefore, the end behavior of the graph is that it approaches negative infinity.
Similarly, as x approaches negative infinity, the term -16x² also becomes increasingly negative, resulting in the graph approaching negative infinity.
Hence, the end behavior of the graph of f(x) is that it approaches negative infinity on both ends.
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Find the greatest common factor of 45 and 12
Answer: 3
Step-by-step explanation: I looked it up.
Answer:
the greatest common factor of 45 and 12 if 3
Step-by-step explanation: