Answers
Answer:
x¹/² / y²³/¹⁵
Step-by-step explanation:
x³y¹/¹⁵ / x¹y⁸/⁵ x³/²
The above expression can be simplified as follow:
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
x¹•y⁸/⁵ × x³/² = x¹⁺³/² • y⁸/⁵
x¹•y⁸/⁵ × x³/² = x⁵/²•y⁸/⁵
Thus,
x³y¹/¹⁵ / x¹y⁸/⁵ x³/² = x³•y¹/¹⁵ ÷ x⁵/²•y⁸/⁵
Recall:
Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ
x³•y¹/¹⁵ ÷ x⁵/²•y⁸/⁵ = x³ ¯ ⁵/² • y¹/¹⁵ ¯ ⁸/⁵
= x¹/² • y¯²³/¹⁵
= x¹/² / y²³/¹⁵
Therefore,
x³y¹/¹⁵ / x¹y⁸/⁵ x³/² = x¹/² / y²³/¹⁵
Related Questions
The dot plots below show the scores for a group of students for two rounds of a quiz:
Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 4 dots above the mark 4 and there are 4 dots above the mark 5. For the bottom dot plot there are 2 dots above the mark 1. There are 2 dots above the mark 2, there is 1 dot above the mark 3, there are 2 dots above the mark 4 and there is 1 dot above the mark 5.
Which of the following inferences can be made using the dot plots?
The range of round 2 is greater than the round 1 range.
Round 2 scores are higher than round 1 scores.
Round 1 scores are lower than round 2 scores.
There is no overlap between the data.
Answers
The first one adds up to 34 while the second adds up to 36. This puts C and D to false.
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Answers
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
What are the vocabulary words for the other pairs (-2,0),(2,0)
Answers
Answer: Quadrant 3 and Quadrant 1
Step-by-step explanation:
plz help me thank u very much
Answers
Answer:
Px = √27 = 3√3
Step-by-step explanation:
∆Pxy is a right triangle.
Py = 6
xy = ½*6 = 3
Use pythagorean theorem to find Px.
Px = √(Py² - xy²)
Px = √(6² - 3²)
Px = √(36 - 9)
Px = √27 = 3√3
Helppp I’ll brainlest....
Answers
Answer:
1.) B
2.) B
Step-by-step explanation:
1.) The outlier is a dot that is no where near the rest of the data.
2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.
For test 1 the median is 75
For test 2 the median is 85
HELPPPP MEEE PLEEASSEEEE !!!
Answers
Answer:
67°
Step-by-step explanation:
Angle 67° and that at H are corresponding this are equal.
Therefore 67+46=113°
180-113=67 as the answer
Write an equation with a variable AND solve it. Mario read 72 pages of his book in class and 13 pages per night, n, until he read 163 pages. How many nights did he read?
Equation:
Answer:
Answers
9514 1404 393
Answer:
72 +13n = 163
7 nights
Step-by-step explanation:
At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:
equation: 13n +72 = 163
__
To solve this, we can subtract 72, then divide by the coefficient of n.
13n = 91 . . . . . . subtract 72 from both sides
n = 7 . . . . . . . . divide both sides by n
Mario read 7 nights.
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.
Answers
9/125 into a decimal fraction
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.072
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answers
Answer:
B: the cost per pint of 3 pints of blueberries if the total cost is $6
Step-by-step explanation:
A is using multiplication
C is using addition and multiplication
D is using multiplication and addition.
Therefore, B would be your answer.
Hope this helps! :)
Answer:
Its B
Step-by-step explanation:
I got 100 on quiz
When Lucas first opened his bank account, he deposited x amount of
money in there. The second week, he deposited the same amount of
money in his bank account. Two weeks later, he wrote a check for $116
and ended up having -$6 in his balance. How much money did Lucas
deposit when he first opened his account?
Answers
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
Absolute value of 47 is
Answers
Answer: 47
Step-by-step explanation:
The absolute value of a positive number is the number itself.
Answer:
47 the answer
Step-by-step explanation:
In the figure shown, the measures of all angles are equal, and AB = EF.
What type of transformation appears to map ABC onto EFG?
A. reflection
B. translation
C. rotation
D. none of the above
Answers
Answer:
your answer will be C. rotation
Step-by-step explanation:
hope it helps...
have a great day!
The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.
For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).
Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.
Learn more about rotation of triangles here:
https://brainly.com/question/11709244
9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power
Answers
Hopefully it’s right
need answer asap, correct answer gets brainliest.
Answers
Answer:
its d option
plz mark me branliest
Answer:
d
Step-by-step explanation:
If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds. When will the object hit the ground?
A. 6.67s
B. 3.34s
C. 13.34s
D. 1.67 s
Answers
Answer:
B. 3.34s
Step-by-step explanation:
Find t when the object hit the ground, h(t)=0.
h(t)=-16t²+178
0=-16t²+178
16t²=178
t²=11.125
t=√11.125=3.33541601603s
A team of scientists is developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.
Sort the variables according to whether they likely would affect the temperatures that the model predicts.
carbon dioxide emissions from human activity carbon dioxide emissions from activities in nature global sea level global rates of photosynthesis changes in Earth's orbital path acidity of ocean water Affects the Temperature Predictions
Does Not Affect the Temperature Predictions
Answers
Answer:
carbon dioxide emissions from human activity carbon dioxide emissions from activities in nature global sea level global rates of photosynthesis changes in Earth's orbital path acidity of ocean water Affects the Temperature Predictions
Does Not Affect the Temperature Predictions
The function of the model for Average Global temperature can be expressed as
[tex]T (x,y,z,p,q) \\where \; x, y,z, p,q\; are \; the \; variables[/tex]
The variables are sorted as follows
Rank Variable
1 x = Carbon dioxide emissions from human activity
2 y = Carbon dioxide emissions from activities in nature
3 z= Global sea level
4 p= Global rates of photosynthesis changes in Earth's orbital path
5 q = Acidity of ocean water
Given ,
Scientists are developing computer model to predict the change in average global temperatures over the next 100 years.
Let [tex]T[/tex] be the average global temperature
According to the given question
[tex]T[/tex] is a function of many variables
[tex]T (x,y,z,p,q) \\where \; x, y,z, p,q\; are \; the \; variables[/tex]
These variables are given below
let
x = Carbon dioxide emissions from human activity
y = Carbon dioxide emissions from activities in nature
z= Global sea level
p= Global rates of photosynthesis changes in Earth's orbital path
q = Acidity of ocean water
We have to Sort the variables according to whether they likely would affect the temperatures that the model predicts.
Human activities have increased the amount of [tex]CO_2[/tex] in atmosphere.
[tex]CO_2[/tex] is major green house gas which causes global warming and also glaciers are melting due to rise in average global temperature.
The Time interval is sufficiently large to have a greater impact due to Global sea level.
The Ranks of different variables are given as follows.
Rank Variable
1 x = Carbon dioxide emissions from human activity
2 y = Carbon dioxide emissions from activities in nature
3 z= Global sea level
4 p= Global rates of photosynthesis changes in Earth's orbital path
5 q = Acidity of ocean water
For more information please refer to the link below
https://brainly.com/question/4301950
For the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series.
f(x)=∫x9cos(x3) dx
Answers
Answer:
a. [tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(2n)!} + C_1[/tex]
b. [tex]\displaystyle P_5(x) = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Sequences
Series
MacLaurin Polynomials
MacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + \cdots + \frac{f^n(0)}{n!}x^n + \cdots[/tex]MacLaurin Series: [tex]\displaystyle P(x) = \sum^{\infty}_{n = 0} \frac{f^n(0)}{n!}x^n[/tex]Power Series
Power Series of Elementary FunctionsMacLaurin PolynomialsTaylor PolynomialsIntegration of Power Series:
[tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} a_n(x - c)^n[/tex] [tex]\displaystyle \int {f(x)} \, dx = \sum^{\infty}_{n = 0} \frac{a_n(x - c)^{n + 1}}{n + 1} + C_1[/tex]Step-by-step explanation:
*Note:
You could derive the Taylor Series for cos(x) using Taylor polynomials differentiation but usually you have to memorize it.
We are given and are trying to find the power series:
[tex]\displaystyle f(x) = \int {x^9cos(x^3)} \, dx[/tex]
We know that the power series for cos(x) is:
[tex]\displaystyle cos(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{2n}}{(2n)!}[/tex]
To find the power series for cos(x³), substitute in x = x³:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n (x^3)^{2n}}{(2n)!}[/tex]
Simplifying it, we have:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}[/tex]
Rewrite the original function:
[tex]\displaystyle f(x) = \int {x^9 \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}} \, dx[/tex]
Rewrite the integrand by including the x⁹ in the power series:
[tex]\displaystyle f(x) = \int {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 9}}{(2n)!}} \, dx[/tex]
Integrating the power series, we have:
[tex]\displaystyle f(x) = {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1[/tex]
To find the first 5 nonzero terms of the power series, we simply expand it as a MacLaurin polynomial:
[tex]\displaystyle P_5(x) = {\sum^4_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1 = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
Topic: AP Calculus BC (Calculus I + II)
Unit: Power Series
Book: College Calculus 10e
125
225
12.89
6. A swimming pool contains 2250 m of water. Its length is 45 m and its breadth is 25 m.
Calculate the depth of the water?
Answers
Answer:
2m
Step-by-step explanation:
[tex]2250 \div 25 = 90[/tex]
[tex]90 \div 45 = 2[/tex]
What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answers
Answer:
x>-6
Step-by-step explanation:
please mark me as brainliest answer
find the area, round to the nearest tenth if necessary
Answers
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
Which pair of trigonometric values is equivalent v
A. cos 113º, cos 67°
B. sin 71º, sin 19
C. cos 389, sin 38°
D.cos 65º, sin 25°
Answers
Answer:
D. Cos 65°,Sin 25°
Step-by-step explanation:
Since they are a pair of complementary trigonometric ratio. Complementary angles add up to 90° and so does 65° and 25°.
Answer B. did not qualify since they are from the same trigonometric ratio i.e sin.
please help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
choice 1) 6 inches
Step-by-step explanation:
3 x 10 x ? = 180
? = 6
Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Answers
Step-by-step explanation:
7(3) - 3(4) > 10
21 - 12 > 10
9 > 10
0 > -1
The solution for the inequality is not in the given options.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 7x – 3y > 10
Seven x minus three times of y greater than ten
Now let us consider all the options to find the ordered pair of inequality.
When we substitute x and y value it should be greater than 10.
(1,2)
7(1)-3(2)>10
7-6>10
1>10 NO
(1,0)
7(1)-3(0)>10
7>10 NO
(3,4)
7(3)-3(4)>10
21-12>10
9>10 NO
(1,-1)
7(1)-3(-1)>10
7+3>10
10>10 NO
Hence the solution for the inequality is not in the given options.
To learn more on Inequality click:
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plz solve this one.................
Answers
Answer:
25 is correct answer please mark me as brainiest answer
Answer:
id.k
Step-by-step explanation:
1/4x - 8=4. I am not understanding this question can someone help me plssss.
Answers
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22
Answers
The value of x from the given circle C is 3 units.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
From the given figure, AB and AD are the tangents from same external point.
Then, AB=AD
2x²+4=22
2x²=22-4
2x²=18
x²=9
x=±√9
x=±3
Therefore, the value of x from the given circle C is 3 units.
Learn more about the tangent of a circle here:
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pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends
Answers
Answer:
It would be right skewed.
Step-by-step explanation:
As you can see, the graph gets smaller as it goes to the right.
PLZ GIVE BRAINLIEST
Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°
Answers
Answer:
Y = 27.8°
Step-by-step explanation:
Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C
Where,
c = 8
a = 17
b = 16
C = Y
Plug in the values
8² = 17² + 16² - 2*17*16*Cos Y
64 = 545 - 544*Cos Y
64 - 545 = -544*Cos Y
-481 = -544*Cos Y
Divide both sides by -544
-481/-544 = Cos Y
0.884191176 = Cos Y
Y = cos^{-1}(0.884191176)
Y = 27.8478491° ≈ 27.8° (nearest tenth)
Answer:
does any body have c?
Step-by-step explanation:
how does the social distancing impact society please help me i really need help please help
Answers
Answer:
To society, social distancing presents the dangers of increasing social rejection, growing impersonality and individualism, and the loss of a sense of community. It negatively affects learning and growth, and it prevents people from effectively socializing, which is a fundamental human need.
Step-by-step explanation:
Have A Nice Day!