Answers
Given the function:
\(y=(x-3)^2\)You need to replace the variable "x" of the function with:
\(x-4\)And then simplify:
\(y=((x-4)-3)^2\)\(y=(x-4-3)^2\)\(y=(x-7)^2\)According to the Transformation Ru
Related Questions
I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
line a passes through (0,3) & (-4,8) line b passes through (0,5) & (5,9) lines a & b are?
Answers
Answer:
line a )y=-5/4x+3
line b) y=4/5+5
Louis owns a rectangular piece of property with an area of 1 3 4 square miles. The length of the property is 2 1 3 miles. What is the width of the property?
Answers
Answer:
Step-by-step explanation:
Area of the land A - Length * Width
Given
A = 1 3/4 mi²
Length L = 2 1/3 miles
Required
Width of the property
Substitute into the formula;
A = LW
W = A/L
W = 1 3/4/(2 1/3)
W = 7/4 ÷ 7/3
W = 7/4 × 3/7
W = 3/4 miles
Hence the width of the property is 3/4 miles
Internetlivestats.com reported in December 2017 around 41% of the world population has an Internet connection today. If there are
3,062,263,517 users, what is the world population? (Round your answer to the nearest whole number.)
Answers
Answer:
World population = 7,468,935,407
Step-by-step explanation:
Given that:
Percent of people who have internet connection = 41%
Number of people who have internet connection = 3,062,263,517
Let,
x be the world population.
41% of x = 3062263517
\(\frac{41}{100}x=3062263517\\\)
0.41x = 3062263517
Dividing both sides by 0.41
\(\frac{0.41x}{0.41}=\frac{3062263517}{0.41}\\x=7468935407\)
Hence,
World population = 7,468,935,407
An above-ground swimming pool is 5 feet long, 4 feet wide, and 3 feet deep and is shaped like a rectangular prism. A rectangular prism has a length of 5 feet, height of 3 feet, and width of feet. If you use a net to find the amount of material used to make the pool, what faces are included in the calculation?
Answers
Answer:
the faces representing the sides and bottom of the pool are included
Step-by-step explanation:
Obviously, there is no pool material covering the top of the pool. Rather, it is "an open-top box", so the area of the faces of the box does not include the area of the top. The five faces other than the top face are included.
Answer:
First answer is 1
Second is 2
Third is 2
Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices:
(1, −2), (5, −2);
passes through the point
(−3, 6)
Answers
The standard form of the hyperbola is:
(x-3)²/4 - (y+2)²/(64/35) = 1
How to solve
Given vertices (1, -2) and (5, -2), the center is (3, -2) and the semi-major axis, a = 2.
The hyperbola is horizontal.
Using point (-3, 6), we find the semi-minor axis, b² = 64/35.
The standard form of the hyperbola is:
(x-3)²/4 - (y+2)²/(64/35) = 1
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HELP ASAP WILL GIVE BRAINLEST Write 4,650,000,000 in scientific notation.
4.65 x 10−9
4.65 x 109
465 x 10−7
465 x 107
Answers
Answer:
(b) 4.65×10⁹
Step-by-step explanation:
You want 4,650,000,000 written in scientific notation.
Scientific NotationA number is written in scientific notation in the form shown in the second attachment. The coefficient has one digit to the left of the decimal point. The remaining significant digits of the number are to the right of the decimal point.
The exponent is the same as the exponent of the place value of the most significant digit of the number. Some of those exponents are shown in the first attachment.
ApplicationThe given number has its most significant digit (4) in the "billions" place. The corresponding exponent of 10 is 9. Putting 4 to the left of the decimal point, the number is written in scientific notation as ...
4.65×10⁹
__
Additional comment
In the above, we have used the superscript font to indicate the exponent. In plain text, an exponent is indicated with a caret (^), as in 4.65·10^9.
If you use an "x" character for a multiplication symbol, you need to make sure it cannot be confused with a variable named "x".
In spreadsheets and some calculators, the base and exponent are written as "E". Here, the number would be 4.65E9. (This is a carryover from one of the earliest high-level computer programming languages.)
(You will notice that the number in the second attachment is similar to, but not the same as, the one given in this problem statement. We intend that attachment to show the format, not the answer to this question.)
15 – 2x=3x
the solution is x =
Answers
Answer:
x=3
Step-by-step explanation:
15 – 2x=3x
Add 2x to each side
15 – 2x+2x=3x+2x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
Answer:
3
Step-by-step explanation:
15 - 2x = 3x
Add 2x to both sides
15 = 5x
Divide 5 to both sides
3 = x
Best of Luck!
Simplest form of 14/63
Answers
Answer:
2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
Answers
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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Given the following data set:
10,10,10,12,14,16,16,18,18,18. What value is at the
40th percentile?
Please help
Answers
Answer:
the tip
Step-by-step explanation:
The three paths intersect in pairs at the points A, B, and C.
Answers
Answer:
Not a complete question... Sorry
Find the surface area of a cylinder pls
Answers
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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3. A. It takes Lucas 18 minutes to finish reading 6 pages of a book. How long does it take for him to finish reading 30 pages? Is the correct answer 20 minutes ?is the correct answer 20 minutes
Answers
18 minutes = 6 pages of books
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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find the 9th term of the geometric sequence. 12,36,108,...
Answers
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
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anyoneknowsthishelppls
Answers
Answer:
c
Step-by-step explanation:
(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
Answers
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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A pension fund manager is considering three mutual funds The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:Expected Return Standard DeviationStock fund (S) 14% 43%Bond fund (B) 7% 37%The correlation between the fund returns is .0459What is the reward-to-volatility ratio of the best feasible CAL?
Answers
For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.
A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.
Stock fund (S) Bond fund (B)
Expected Return 14% 7%
Standard Deviation 43% 37%
Risk-free returns , Rf = 5.3%
Correlation coefficient = 0.459
Covariance : 0.459 = COV(s,b)/0.43×0.37
Covariance = 0.073
Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)
= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)
Weight of S = 42.18%
Weight of B = 1 - 42.18 = 57.82%
Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%
= 5.90 + 4.05 = 9.95
Standard Deviation of the portfolio (SDp)
= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2
= 28.68
Reward to volatility = (Expected return - Rf) / SD of Portfolio
= (9.95- 5.3) / 28.68
=0.1621
Hence, the required volatility is 0.1621 or 16.21%.
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Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
Answers
Answer:
33 girls
Step-by-step explanation:
This is the answer because:
1) 3/4 of 44 is 33 because 1/2 of 44 is 11
a) 11 x 3 = 33
Hope this helps! :)
Answer:
33 girls
Step-by-step explanation:
44/4= 11
11x3=33
plz mark me as brainliest.
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X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
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Select all table’s that represent proportional relationship between x and y
Answers
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Given m∠ABC=37°m∠ABC=37°and m∠CBD=165°m∠CBD=165°. According to the Angle Addition Postulate, what is the measure of ∠ABD∠ABD, that contains −−→BCBC→?
Answers
According to the Angle Addition Postulate, the measure of m∠ABD = 202°.
What is an angle addition postulate?According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.
Given:
The angle measures:
m∠ABC=37°,
and m∠CBD= 165°.
So, according to the angle addition postulate;
m∠ABD = m∠ABC + m∠CBD
Substituting the values,
m∠ABD = 37° + 165°
m∠ABD = 202°
Therefore, the angle measure of m∠ABD = 202°.
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brainliest to correct answer
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Help please:)
Graph the equation by plotting points.
X=4
Answers
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Factor completely the trinomial, if it is factorable using integers enter nf7 - 48x - 7x^2
Answers
Since the given trinomial is a quadratic expression. We can factor this using a quadratic formula.
\(x=\frac{ -b \pm\sqrt{b^2 - 4ac}}{ 2a }\)\(\begin{gathered} \text{Rearrange the expression so that it is in the form }ax^2+bx+c \\ \\ 7-48x-7x^2\Rightarrow-7x^2-48x+7 \\ \\ \text{Here, we can determine }a,b,\text{ and }c \\ a=-7 \\ b=-48 \\ c=7 \end{gathered}\)Substitute the following coefficients the quadratic formula and we get:
\(\begin{gathered} x=\frac{ -b \pm\sqrt{b^2 - 4ac}}{ 2a } \\ x=\frac{ -(-48) \pm\sqrt{(-48)^2 - 4(-7)(7)}}{ 2(-7) } \\ x=\frac{48\pm\sqrt[]{2304-(-196)}}{-14} \\ x=\frac{ 48 \pm\sqrt{2500}}{ -14 } \\ x=\frac{ 48 \pm50\, }{ -14 } \\ x=-\frac{ 98 }{ 14 }\; \; \; x=\frac{ 2 }{ 14 } \\ x=-7\; \; \; x=\frac{ 1}{ 7 } \end{gathered}\)Equate the solution to zero to get the factors.
\(\begin{gathered} x=-7 \\ x+7=0 \\ \\ x=\frac{1}{7} \\ x-\frac{1}{7}=0 \\ 7x-1=0 \\ \\ \text{Therefore, the factor of }7-48x-7x^2\text{ is }(x+7)(7x-1) \end{gathered}\)5h-6-8+7h what’s the answer ?
Answers
construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
Answers
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
Answers
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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PLEASE HELP AND LET ME KNOW IF THE FIRST TWO ARE RIGHT
Answers
30. A big candle is made up of a pyramid with a slant height of attached to a cuboid with a square base of sides and a height of . (i) Calculate the volume of the candle. Another candle is made in the shape of a sphere. The volume of this candle is one-tenth the volume of the big candle. (ii) Show that the radius of the spherical candle is , correct to 3 significant figures. The diagram shows the plan view of a box holding two of the spherical candles. The candles just fit into the box in the shape of a cuboid. (iii) Calculate the volume of empty space in the box.30. A big candle is made up of a pyramid with a slant height of attached to a cuboid with a square base of sides and a height of . (i) Calculate the volume of the candle. Another candle is made in the shape of a sphere. The volume of this candle is one-tenth the volume of the big candle. (ii) Show that the radius of the spherical candle is , correct to 3 significant figures. The diagram shows the plan view of a box holding two of the spherical candles. The candles just fit into the box in the shape of a cuboid. (iii) Calculate the volume of empty space in the box.
Answers
i) The volume of the candle is 48047.96 cubic cm. ii)the radius of the candle is 10.468 cm and iii)Volume of empty spaces in the box is 8749.73 cubic cm.
i) Slant height of the Pyramid = 39cm
Base length = 30 cm
Height of the pyramid part = √(39²-30²) = 24.92 cm
Volume of the pyramid part = 30 × 30 × 24.92 ÷ 3 = 7475.96 cm³
Height of the candle = 70 cm
Height of the cuboid= 70 - 24.92 = 45.08cm
Volume of the cuboid = 30 × 30 × 45.08 = 40572 cubic cm
Total volume of the candle = 7475.96 cm³ + 40572 cm³ = 48047.96 cm³
ii) Volume of the spherical candle = 0.1 × 48047.96 cm³ = 4804.79 cm ³
Now let the radius be r.
Hence 4/3 πr³ = 4804.79
or, r = 10.4679.. cm
or, r ≈ 10.468 cm
iii) Dimensions of the box = 10.468 × 2 = 20.94 cm
Height = 20.94cm
Width = 10.468 × 4 = 41.87 cm
Volume of the box = 41.87 × 20.94 × 20.94 = 18359.31 cubic cm
Volume of the candles = 4804.79 cm ³× 2 = 9609.58 cm³
Empty space in the box = 8749.73 cm³
Hence the empty spaces is 8749.73 cm³
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