determine which function produces the same graph as f (x) = (8 superscript two-thirds x baseline) (16 superscript one-half x baseline). f(x) = 4x f(x) = 42x f(x) = 83x f(x) = 162x
Answers
The given function is f (x) = (8 ²/³x) (16 ½x). We need to determine which function produces the same graph as the given function.Let's solve this problem. To solve this problem, we have to determine the main answer. The main answer is f(x) = 42x. This function produces the same graph as the given function.
Given function is f (x) = (8 ²/³x) (16 ½x)Now, we will express the given function as f (x) = 2 ²/³ . 2 ½ . (2 ³x) (2 ⁴x)Therefore, f (x) = 2^(²/³ + ½ + 3x + 4x) = 2^(11/6 + 7x)So, the given function f (x) = (8 ²/³x) (16 ½x) is equivalent to the function 2^(11/6 + 7x). Now, let's check the options which function produces the same graph as f(x).Option a) f(x) = 4xWhen we substitute x = 1 in both functions, f(1) = 16 for the given function and f(1) = 4 for function f(x) = 4x.So, it is clear that this function does not produce the same graph as f(x).Option b) f(x) = 42xWhen we substitute x = 1 in both functions, f(1) = 512 for the given function and f(1) = 42 for function f(x) = 42x.So, it is clear that this function produces the same graph as f(x).Option c) f(x) = 83xWhen we substitute x = 1 in both functions, f(1) = 1024 for the given function and f(1) = 83 for function f(x) = 83x.So, it is clear that this function does not produce the same graph as f(x).Option d) f(x) = 162xWhen we substitute x = 1 in both functions, f(1) = 2048 for the given function and f(1) = 162 for function f(x) = 162x.
So, it is clear that this function does not produce the same graph as f(x).Thus, the main answer is f(x) = 42x. The explanation of the problem is as follows: The given function f (x) = (8 ²/³x) (16 ½x) is equivalent to the function 2^(11/6 + 7x). The function that produces the same graph as f(x) is f(x) = 42x. The remaining functions do not produce the same graph as f(x).
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Answer:its B
Step-by-step explanation:
i did the test
Related Questions
18 km
12 km
20 km
or
14 km
Answers
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
Question 4(Multiple Choice Worth 2 points)
(Comparing Data MC)
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches
Answers
Answer:
The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
Step-by-step explanation:
Allstars mean height:
= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15
= 1007 / 15
= 67.6 inches
Super Stars mean height:
= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15
= 912 / 15
= 60.2 inches
We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players
Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:
Answers
Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.
The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.
When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.
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The complete question is:
Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:
has increased more slowly than inflation.suffers from menu costs due to inflation,has increased more rapidly than inflation.has increased at about the same rate as inflation.is an inferior good.Intellectually gifted people score in the top _____ percent on a standard IQ test.
A. 10
B. 5-10
C. 5
D. 1-2
Answers
Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.
How to complete the blank in the statementFrom the question, we have the following parameters that can be used in our computation:
IQ of intellectual gifted people
The general rule is that
People with intellectuals are usually ranked high and the range is usually small
Next, we test the options
A. 10
The top 10% has a high range
B. 5-10
The top 10% omits people in top 5%
C. 5
The top 5% has a high range
D. 1-2
This has a small range and it is the highest
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Let be the part of the surface z=y2 that lies within the cylinder x2 +y2 =2, with upward
orientation. Use Stokes’ Theorem to evaluate ∫ ⃑∙⃑ , where ⃑(x,y,z)=〈−2yz,y,3x〉 and
is the boundary curve of
* please include steps
Answers
Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.
Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.
Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.
∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.
The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.
Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.
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I need help quickkkkkkkkkkkk
Answers
Answer:
(-1)^2
Step-by-step explanation:
If you look back to the rules of negative and positive - × - = +
So it's -1 × -1= 1
Adiosss
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
HELP PLEASE WILL MARK BRAINLIEST. Leo walk 7km outh then 12km eat. How far i he from the tarting point
Answers
Leo is approximately 13.928 km away from the starting point.
Given that Leo walked 7 km south and then 12 km east, we need to determine the distance from the starting point,
To determine the distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the distance Leo walked south forms one side of a right triangle, and the distance he walked east forms the other side. The distance from the starting point will be the length of the hypotenuse.
Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:
Distance² = (7 km)² + (12 km)²
Distance² = 49 km² + 144 km²
Distance² = 193 km²
Taking the square root of both sides gives us:
Distance = √(193)
Distance ≈ 13.928 km
Therefore, Leo is approximately 13.928 km away from the starting point.
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Complete question =
Leo walk 7km south then 12km east. How far is he from the starting point?
Which rational number is the greatest
a. 0.55
b. 0.6
c. 9/20
d. 1/2
Answers
I think d.1/2 number is the greatest rational number .
What is the volume of this sphere? Use 3.14 and round your answer to the nearest hundredth. 1777561 cubic inches ST
Answers
we have that
the radius is
r=12.1 in
the volume of a sphere is
\(V=\frac{4}{3}\cdot\pi\cdot r^3\)substitute the given values
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot12.1^3 \\ \\ V=7,416.94\text{ in3} \end{gathered}\)Part 2
In this problem we have the diameter of the sphere
D=13.6 mm
so
r=D/2=13.6/2=6.8 in
substitute in the formula
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot6.8^3 \\ V=1,316.42\text{ in3} \end{gathered}\)Prepare journal entries to record transactions a through h.
a. Raw materials purchased on credit, $82,000.
b. Direct materials used, $37,500. Indirect materials used, $17,200.
c. Direct labor used, $30,000. Indirect labor used, $10,000. (Record using Factory Wages Payable.)
d. Paid cash for other actual overhead costs, $7,125.
e. Applied overhead at the rate of 125% of direct labor cost.
f. Transferred cost of jobs completed to finished goods, $54,400.
g. Sales of jobs on credit was $77,000.
h. Cost of jobs sold was $54,400.
View transaction list
Journal entry worksheet
help please
Answers
Accounts Payable A/C Cr. $82,000
b. Work in Progress A/C Dr. $54,700
Raw Materials A/C Cr. $54,700
c. Factory Wages Payable A/C Dr. $40,000
Work in Progress A/C Cr. $40,000
d. Manufacturing Overhead A/C Dr. $7,125
Cash A/C Cr. $7,125
e. Manufacturing Overhead A/C Dr. $37,500
Accumulated Depreciation A/C Cr. $37,500
f. Finished Goods A/C Dr. $54,400
Work in Progress A/C Cr. $54,400
g. Accounts Receivable A/C Dr. $77,000
Sales A/C Cr. $77,000
h. Cost of Goods Sold A/C Dr. $54,400
Finished Goods A/C Cr. $54,400
What value of c makes this equation true x/6 - 7 = -4
Answers
Answer:\(x = 18\)
* also think you meant x instead of c*
Step-by-step explanation:
\(\frac{x}{6} - 7 = -4\) --> +7 on both sides
\(\frac{x}{6} - 7 + 7 = -4 + 7\)
\(\frac{x}{6} = 3\) --> multiple by 6 by both sides
\(6 * \frac{x}{6} = 3 * 6\) --> the 6 and the \(\frac{x}{6}\) cancel out
\(x = 18\)
Can u pls help me! I need this answers ASAP
Answers
Answer:
y=mx+b so the answer is 28980/420 which equals 69 lol
Step-by-step explanation:
which conditional has a true converse? Select all that apply
А If a quadrilateral is a square, then it has four congruent sides,
B
If a polygon is a triangle, then it has 3 sides.
С.
If a quadrlateral is a rectangle, then it has two pairs of parallel sides,
D
If a number is even, then it is divisible by 2
E
If a number is prime, then the only factors of the number are itself and 1.
Answers
Solve the following inequality. Graph the solution.
8a-30> 66
What is the solution? Select the correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal.)
A. az
B. as
OC. a>
D. a<
Answers
The solution to the given Inequality is a > 12 and the graph is as attached.
What is the Solution to the Inequality?
We are given the Inequality as;
8a - 30 > 66
Now, use addition property of equality to add 30 to both sides to get;
8a - 30 + 30 > 66 + 30
8a > 96
Now, use division property of equality to divide both sides by 8 to get;
8a/8 > 96/8
a > 12
The graph of this is as attached.
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A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction answer
Answers
Answer: \(15\) or \(\frac{15}{1}\)
Step-by-step explanation:
We need to divide 300 by 20.
We get \(15\) or \(\frac{15}{1}\).
Answer:150
Step-by-step explanation: if you do 30/2=15 add a zero=150
Solve for fff:
f+\dfrac{1}{4}=-\dfrac{7}{2}f+
4
1
=−
2
7
Answers
Subtract 4 from both sides of the equation, then subtract f from both sides and divide both sides by -7/2 to solve for f.
In order to solve for f, the equation must be manipulated to isolate it on one side of the equation. To do this, the equation must be manipulated algebraically. First, subtract 4 from both sides of the equation. This will move the constant part to the other side of the equation, leaving only the f on the left side. Then, subtract f from both sides, which will move the f to the other side and leave only the constant on the left side. Finally, divide both sides of the equation by -7/2. This will move the coefficient of f to the other side and will leave only f on one side of the equation, thus isolating it. The resulting answer is f=1. This process of manipulating the equation algebraically is called solving the equation for f.
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Jasmine baked 12 oatmeal cookie and 20 chocalte chip cookies
Answers
What is the surface area of the cylinder with height 6 in and radius 7 in? Round your answer to the nearest thousandth.
Answers
Answer:
571.77
Step-by-step explanation: I might be wrong so don't really trust me
I’ll give someone brainliest if they answer this
Answers
Answer:
2. The answer should be the last one.
3. The answer should be the first three.
Step-by-step explanation:
Question 2
KE = (1/2)mv²
2KE = mv²
v² = 2KE/m
v = ±√(2KE/m)
Therefore the answer should be the last one.
Question 3
b^(1/2) * b^(5/2)
Remember that the product rule states that b^x * b^y = b^(x+y)
So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3
Also remember that the power rule states that √b = b^(1/2)
so this means b^(6/2) can also be written as (√b)^6
Therefore the answer should be the first three.
If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just make sure you are very careful when typing into the calculator.
Multiple Choice: Choose the best answer for each question.
6 cm
4. Find the area of the kite at the right.
11 cm
1 cm
a. 72 cm
c. 144 cm
b. 396 cm
d. 33 cm
Answers
Answer:
The area of the kite at the right is 72
Simplify. [3 • (3 – 9)] + 9 –4.5 9 45 –9
Answers
this is your answer -45189/2000
5 years ago Patricia put 1200 in a saving account with a 1.5% interest rate. how much does she have now in her savings account now
PLEASE HELP!!!!!
Answers
The amount of money in her account after five years will be $1,292.74.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,
A = $1,200 × (1 + 0.015)⁵
Simplify the expression, then we have
A = $1,200 × (1.015)⁵
A = $1,200 × 1.07728
A = $1,292.74
The amount of money in her account after five years will be $1,292.74.
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A new player joins the team and raises the mean to 22
Answers
A. The mean age of the team rounded to 1 decimal place is 20.9 years
B. The age of the new player is 23.1 years
A. How do i determine the mean age of the team?The mean age of the team can be obtained as illustrated below:
Age (x) = 19, 20, 21, 22, 23, Frequency (f) = 2, 3, 1, 4, 1Mean age =?Mean age = ∑fx / ∑f
Mean age = [(19 × 2) + (20 × 3) + (21 × 1) + (22 × 4) + (23 × 1)] / (2 + 3 + 1 + 4 + 1)
Mean age = 230 / 11
Mean age = 20.9 years
Thus, the mean age of the team is 20.9 years
B. How do i determine the age of the new player?The age of the new player can be obtained as follow:
Mean of previous player = 20.9 yearsNew mean = 22Age of new player =?New mean = (mean of previous + age of new player) / 2
22 = (20.9 + age of new player) / 2
Cross multiply
22 × 2 = 20.9 + age of new player
44 = 20.9 + age of new player
Collect like terms
44 - 20.9 = Age of new player
Age of new player = 23.1 years
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Complete question:
Pleas attached photo
YA'LL I REALLY NEED HELP !!!!!! Which ordered pair is a solution to the system of inequalities? y ≤ x and y ≤ –2
options
A)
(–2,4)
B)
(1,4)
C)
(2,–4)
D)
(–6,2)
Answers
Answer: C. (2, -4)
Step-by-step explanation:
Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.
Find a point on the line r(t) = h1, 2, 3i+th4, −1, 3i that is 7
units distance from the point (1, 2, 3).
Answers
To find a point on the line given by r(t) = ⟨h1, 2, 3⟩ + t⟨h4, -1, 3⟩ that is 7 units away from the point (1, 2, 3), we can use the distance formula to set up an equation and solve for the parameter t.
Let's consider a point on the line r(t) = ⟨h1, 2, 3⟩ + t⟨h4, -1, 3⟩, which we can represent as ⟨x, y, z⟩. We want this point to be 7 units away from the point (1, 2, 3). Using the distance formula, we have:
√((x - 1)² + (y - 2)² + (z - 3)²) = 7.
Expanding this equation gives us:
√((x - 1)² + (y - 2)² + (z - 3)²) = √((7)²).
Squaring both sides to eliminate the square root, we get:
(x - 1)² + (y - 2)² + (z - 3)² = 49.
Now, we substitute x = 1 + 4t, y = 2 - t, and z = 3 + 3t into the equation above and solve for t. Once we find the value of t, we can substitute it back into the equation r(t) to find the corresponding point on the line that is 7 units away from (1, 2, 3).
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Property that justifies Step 3 and 4
Answers
The property that justified the work done between Step 3 and Step 4 is the H. Addition property of inequality.
What is the addition property of inequality ?The Addition property of inequality, a fundamental principle in mathematics, enables the preservation of the inequality's integrity when we add or subtract equal amounts from both sides.
This property facilitates the manipulation of the inequality by ensuring that the relationship between the two sides remains consistent throughout the process. By subtracting 3 from both sides, we appropriately modify the equation, transitioning from the third step to the fourth step.
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Gabriella's morning exercise routine includes both jogging and power yoga. On average, she
burns about 450 calories per hour while doing power yoga and about 660 calories per hour
while jogging. Gabriella wants to burn a total of 675 calories during her 75 minute workout this
morning. Which of the following systems could be used to find the number of minutes that she
should spend jogging, j. and the number of minutes that she should spend doing power yoga, p.
in order to meet this goal?
Answers
The question is an illustration of systems of equations, where 2 or more equations model a particular subject.
The system of equations is:
\(\mathbf{j + p = 75}\)
\(\mathbf{660j + 450p = 675}\)
Let:
j represents jogging
p represents power yoga
She wants to spend 75 minutes.
This is represented as:
\(\mathbf{j + p = 75}\)
The total calories to burn out is 675.
This is represented as:
\(\mathbf{660j + 450p = 675}\)
Hence, the system of equations is:
\(\mathbf{j + p = 75}\)
\(\mathbf{660j + 450p = 675}\)
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Need help on this question asap please
Answers
Answer:
8 m
-----------------Work--------------
2*3 = 6
Ratio
2*4 = 8
Match the equation with the graph.
→
Graph E
Graph F
Graph G
Graph H
Answers
Answer:
Graph E: Y= -1/3x +3
Grpah F: Y= 1/2x
Graph G: Y= x-3
Graph H: Y= -x
Step-by-step explanation:
plEASE HELP ME plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
24 people were in the sample !