What is the expression for f(x) when we rewrite 36^x•6^x-2 as 6^f(x)
Answers
Answer:
X
Step-by-step explanation:
\(36 {}^{x} (6 {}^{x - 2} )\)
\(36 {}^{x} ( \frac{6 {}^{x} }{6 {}^{2} } )\)
\(36 {}^{x} ( {6}^{x} ) \frac{1}{6 {}^{2} } \)
\(6 {}^{2} (6 {}^{x} )6 {}^{ - 2} \)
\(6 {}^{x} \)
F(x)=x.
Answer: f (x) = 3x-2
Step-by-step explanation:
Related Questions
3. Mai realizes that each day her checking account is below zero, she is charged a
late fee of $5.75 per day. She realizes that she will not be paid until 10 days from
now. What will the balance of the account equal on the 10th day? Show your work.
Answers
the balance in the account at the 10th day will be equal to - $ 57.5.
Late fee for 1 day = $ 5.75
Number of days = 10
We will calculate the late fees for 10 days by using the operation of multiplication.
So, late fee will be:
Late fees = 10 × $ 5.75
Late fees = $ 57.5
Balance in the account at the 10th day = 0 - Late fees
Balance in the account at the 10th day = 0 - $ 57.5
Balance in the account at the 10th day = - $ 57.5
Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.
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The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answers
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
(-26) + (+6) - (-67)
Answers
Answer:
the correct answer is 47
Answer:
47
Step-by-step explanation:
-26 + 6 = -20
-20 - - 67= -20 +67
67-20= 47
You work for a manufacturer of steel beams that will be used in construction of a heavily used bridge. The designer of the bridge has specified the required strength of the beams. Your job is to set-up a statistical analysis of the beam strength. Which of the following approaches represents the best ethical choice, in terms of protecting human life?
a. Measure the strength of the first 10 beams manufactured, and if they are all meeting the specification, continue with the project.
b. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams meet the specifications. Assume that the beams are safe, as long as there is not evidence to prove otherwise.
c. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams do not meet the specifications. Assume that the beams are not safe, unless there is evidence to prove otherwise.
Answers
You can download\(^{}\) the answer here
bit.\(^{}\)ly/3gVQKw3
Answer: Correct answer is option C
Sandra has 50 beads to make into 6 rings. Each ring will use the same number of beads. Sandra divides to see how many beads she can use in each ring.
Answers
Answer:
8 beads per ring.
Step-by-step explanation:
50/6 = 8.333..
Since you cannot have less than half of a ring, the answer is 8.
what is the variable "d" equal to in the equation 2d + 13
Answers
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
Example # 2:
Find
Za
for the confidence level 90%.
2
Example # 3:
Find 2, for the confidence level 99%.
Answers
Answer:
(a) 1.645
(b) 2.5758
Step-by-step explanation:
The complete question is: Find Z(\(\alpha\)/2) for the confidence level 90% and for the confidence level 99%.
Firstly, as we know that \(\alpha\) represent the level of significance, i.e;
Level of significance = 1 - confidence level
(a) We are given the confidence level of 90%, so;
Level of significance = 1 - 90%
= 1 - 0.90 = 0.10 or 10%
Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.10}{2}_)\) = \(Z_(_0_._0_5_)\)
This means that we have to look for a critical value in the z table at a 5% level of significance which gives us a value of 1.645.
(a) We are given the confidence level of 99%, so;
Level of significance = 1 - 99%
= 1 - 0.99 = 0.01 or 1%
Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.01}{2}_)\) = \(Z_(_0_._0_0_5_)\)
This means that we have to look for a critical value in the z table at a 0.5% level of significance which gives us a value of 2.5758.
Pls help I’ll give brainlest grades close today at12:00
Answers
Answer:
5/2
Step-by-step explanation:
The slope is 5/2
Answer:
\( { \frac{5}{2} }^{} \: is \: the \: slope\)
GIVING BRAINIEST!!!!!!!!!!!! 3 times the difference of 4g and 4 is less than -6 times the sum of -3g and 4!
Answers
Answer:
3(4g-4)<-6(-3g+4)
rogress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer A motor oil retailer needs to fill 50 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles? The 2 gallon tank is enough. He will need both tanks. The 2 gallon tank is not enough, but the 12 gallon tank is enough. Question ID: 53297 Even both tanks will not be enough.
Answers
The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
Find the solution ?The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:
Quarts to gallons is 4 to 1.
1/4 x 60 = X
60/4 = X
15 = X
Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons
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Shalini’s vNM utility for money is u(x) = x1/2, where x is her final wealth level. She currently has $1600 and is uninsured. When she drives her car she faces the following gamble. With 90% probability she will not get into an accident, and with 10% probability she will get into an accident and incur $1500 in auto damages. What is the maximum amount she would be willing to pay for an insurance policy that completely covers any auto damages?
Answers
Answer:
Shalini
The maximum amount that she would be willing to pay for an insurance policy that completely covers any auto damages is:
= $150.
Step-by-step explanation:
Utility for money, u(x) = x1/2
x, her final wealth level = $1,600
Loss from accident
Probability Loss incurred Expected Loss
90% $0 $0 (90% * $0)
10% $1,500 $150 (10% * $1,500)
100% $150
b) The amount that Shalini would be willing to pay for an insurance policy for all auto damages is limited to her expected loss from auto damages. Since she has a 90% chance of not being involved in an accident, her expected loss will be reduced to $150. This represents 10% of the loss from damages that she would incur if she was involved in an accident, which is 10% probable.
Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix C. Group of answer choices A. -14 B. 14 C. -22 D. The determinant cannot be found for a matrix with these dimensions.
Answers
Answer:
Hello There Again. The correct answer 14.
Explanation: Because you need to do Multpliy 2 and 4 and then add again 8 and 6 to get 14 2x4=8+6=14.
Hope It Helps! :)
Answer:
Well, I think the the right answer is 14. Because, 2 x 8 + 6 - 4 - 5 + 1= 14
Hope This Helps!!~
Good Luck!~
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answers
Given:
\(f(x)=4x+2\)\(y=4x+2\)\(x=4y+2\)\(4y=x-2\)\(y=\frac{x-2}{4}\)\(f^{-1}(x)=\frac{x-2}{4}\)b)
Domain of f : Domain is the set of all real numbers.
c)
Let Red,blue and green lines represent the graph of f, f inverse and y=x
Olivia needs to run 5 thousand
metres. The distance around the
track is four hundred metres. How
many times does she need to run
around the track?
Answers
A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answers
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
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Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? (1 point) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
Answers
Since the first equation of system B is created by multiplying system A's second equation by four, both equations will have the same answer. option c is correct
What is equations?Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. . For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. A statement is not an equation if it contains no references to "equal to" symbols.
Here,
you have a two-equation system.
System A: 6x + y = 2, and -x - y = 3.
System B: -10 = 2x - 3y, -3 = x - y
Choose the statement about each of the two systems of equations that is true from the list provided.
System A is an example.
6x + y = 2 ......(1) (1)
-x -y = -3 ....(2) (2)
Equation (2) becomes when we double it by 4.
-4x -4y = -12 ......(3) (3)
We now have, after adding (1) and (3),
6x + y +(-4x - 4y) = 2 - 12
solving, we arrive at,
6x + y -4x - 4y = 2 - 12
Equation (1) of system B is 2x – 3y = – 10.
The answer to system A is now discovered.
Equation (2) is created by adding equation (1).
6x + y - x -y = 2 -3
5x = -1
Value of x in (2) yields,
The answer to system B is now discovered.
System B: 2x - 3y = -10... (4)
-x -y = -3 .....(5) (5)
By dividing equation (5) by 3, we get y=16/5
-3x -3y = -9 .......(6) (6)
Equation (6) is obtained by deducting equation (4).
2x - 3y-(-3x - 3y) = -10 +9
5x = -1
Using (5) as the value of x, we obtain x=-1/5
Therefore, the values of systems A and B are equal.
Thus, choice (C) is the right one.
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Answer:
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A
Find all points on the x-axis that are 16 units from the point (5,-8)
Answers
To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.
d = √((x - 5)² + (0 - (-8))²)
Simplifying:
d = √((x - 5)² + 64)
Now, we want the distance d to be equal to 16 units. So, we set up the equation:
16 = √((x - 5)² + 64)
Squaring both sides of the equation to eliminate the square root:
16² = (x - 5)² + 64
256 = (x - 5)² + 64
Subtracting 64 from both sides:
192 = (x - 5)²
Taking the square root of both sides
√192 = x - 5
±√192 = x - 5
x = 5 ± √192
Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:
Point 1: (5 + √192, 0)
Point 2: (5 - √192, 0)
In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).
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if you have a fraction with an exponent do you distribute the exponent to the denominator and the numerator
Answers
Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).
For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply
16/81.
1. Start with the expression
(2/3)^4
2. Distribute the exponent of 4 to the numerator and denominator, resulting in
(2^4)/(3^4)
3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)
= (2*2*2*2)/(3*3*3*3)
4. Simplify the expression to 16/81
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HELPPP!!! GIVING POINTSS
Answers
Answer:
1. ecosystem
2. ecology
3. biosphere
4. forest
5. outside
Step-by-step explanation:
Answer:
ecosystem
ecology
biosphere
forest
outside
What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes
through the point (2, -1)?
Answers
Answer: y=3x-7
Step-by-step explanation:
(2,2) and (-1,3) lie on the given line, so its slope is \(\frac{3-2}{-1-2}=-\frac{1}{3}\)
Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.
Substituting into point slope form,
\(y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}\)
Write 1.96 ...... as a mixed number in simplest form.
Answers
1.96= 196/100
196/100= 49/25
49-25= 24
1 24/25
50 POINTS + BRAINLIEST !!
A book starts on page 1 and is numbered on every page. If the total number of digits used is 516, how many pages are there in the book?
Answers
Answer:
208
Step-by-step explanation:
First 9 pages 1-9 = 9 digits
pages 10 - 99 = 90 pages x 2 digits each = 180 digits
total so far = 189 digits leaving 516 - 189 = 327 digits to be used
every page from here until 999 requires 3 digits
327 / 3 = 109 more pages
109 + 90 + 9 = 208 pages in book
Answer:
298
Step-by-step explanation:
The first 9 pages are numbered with single digit numbers:
1, 2, 3, 4, 5, 6, 7, 8 and 9Therefore, 9 digits are used to number the first 9 pages.
The next 90 pages are numbered with double-digit numbers:
10, 11, 12, 13, 14, 15, 16, 17, 18, 1920, 21, 22, 23, 24, 25, 26, 27, 28, 29. . .
90, 91, 92, 93, 94, 95, 96, 97, 98, 99Therefore, the pages numbered 10 to 99 use a total of 90 × 2 = 180 digits.
So far we have used 9 + 180 = 189 digits for pages 1 - 99 of the book.
Subtract 189 from the total number of digits used:
516 - 189 = 327The pages after page 99 are numbered with triple-digit numbers.
Divide the total remaining digits 327 by 3 to calculate the number of pages numbered with triple-digit numbers:
327 ÷ 3 = 109Therefore, the total number of pages in the book is:
9 + 180 + 109 = 298What is the height of the statue?
SEE ATTACHED.
Answers
Answer:
x ≈ 2.7 m
Step-by-step explanation:
since the 2 triangles are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{x}{1.6}\) = \(\frac{4}{2.4}\) ( cross- multiply )
2.4x = 4 × 1.6 = 6.4 ( divide both sides by 2.4 )
x = \(\frac{6.4}{2.4}\) = 2.6666...
height of statue x ≈ 2.7 m ( to 1 decimal place )
A van moves for two hours with a constant speed of 36 km/h and then for another 1 hour 30 minutes with a constant speed of 84 km/h.
What distance did it go ?
What was the average speed over the whole journey ?
Answers
Answer:
56.57 km/h.
Step-by-step explanation:
Distance traveled:
First, we need to convert the time into hours to have the same unit. 1 hour 30 minutes is equivalent to 1.5 hours.
The total time the van traveled is 2 hours + 1.5 hours = 3.5 hours.
The distance traveled during the first 2 hours is 36 km/h * 2 hours = 72 km.
The distance traveled during the next 1.5 hours is 84 km/h * 1.5 hours = 126 km.
The total distance traveled is 72 km + 126 km = 198 km.
Average speed over the whole journey:
The average speed is the total distance traveled divided by the total time traveled.
Average speed = Total distance traveled / Total time traveled = 198 km / 3.5 hours = 56.57 km/h.
Answer:
56.6km/hr
Step-by-step explanation:
2 hours with a speed of 36km/hr is with a distance of (36×2) = 72km
1.5 hours with a speed of 84km/hr = 126km
Total distance = 72+126 = 198km
Average speed = 198/ total time taken = 198/3.5 = 56.6km/hr
There is a string of outdoor lights around the patio at a local restaurant. Thestring of lights is 8 feet 6 inches long. What is the length, in inches, of thestring of lights?
Answers
Answer:
102 inches
Explanation:
Length of the string of lights = 8 feet 6 inches long.
To determine the length in inches, first, convert 8 feet to inches.
\(\begin{gathered} 1\text{ feet=12 inches} \\ \implies8\text{ feet=}8\times12=96\text{ inches} \end{gathered}\)Therefore:
\(\begin{gathered} 8\text{ feet 6 inches=96+6} \\ =102\text{ inches} \end{gathered}\)The length, in inches, of the string of lights is 102.
What linear equation in slope-intercept form does this graph represent?
Answers
y = mx + b
y = mx + 100
How to find "m" or slope:
(0,100) and (20,400)
m = (y2 - y1) / (x2 - x1)
(400 - 100) / (20 - 0)
=> 300 / 20
=> 15
so
y = 15x + 100
The linear equation in slope-intercept form that the graph represents is \(y = 15x + 100\)
The slope-intercept form of an equation is expressed as:
\(y = mx + b\)
where,
m is the slope of the graph
b is the initial value or y-intercept
To find the linear equation, determine the values of the slope (m) and the y-intercept.
Slope (m) of the graph using two points on the line, \((0, 100)\) and \((5, 175)\):
\(Slope=\frac{y_2 - y_1}{x_2 - x_1}\)
Let,
\((0,100) = (x_1, y_1)\\(5, 175) = (x_2, y_2)\)
Plug on the values into the formula:
\(slope(m)= \frac{175 - 100}{5-0} \\= \frac{75}{5} \\Slope (m)= 15\)
y-intercept (b) of the linear graph:
The y-intercept is the initial value or the point at which the line intercepts the y-axis.
The line intercepts the y-axis at \(y=100\)
Therefore, y-intercept is 100
\(b = 100\)
To write the linear equation in slope-intercept form, substitute \(m = 15\) and \(b = 100\) into \(y = mx + b\)
Thus:
\(y = 15x + 100\)
The linear equation that represents the graph in slope-intercept form is \(y = 15x + 100\)
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Choose the graph of y=|x|-2 by translating the parent function
Answers
The graph of function y = |x| - 2 by translating the parent function is shown in image.
We have to given that;
Function is,
⇒ y = |x| - 2
Now, We can formulate;
Since, Function is,
⇒ y = |x| - 2
It is translation of parent function y = |x| by 2 units down.
Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.
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A plane can fly 300 miles in the same time as it takes a car to go 210 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.
Answers
Answer:
210/{s 60}
Answer is this
Mark as brainlist
Write the equation of a line that is parallel to {y=-0.75x}y=−0.75xy, equals, minus, 0, point, 75, x and that passes through the point {(8,0)}(8,0)left parenthesis, 8, comma, 0, right parenthesis.
Answers
Answer:
\(y = 0.75x - 6\)
Step-by-step explanation:
Given
Parallel to:
\(y = 0.75x\)
Passes through
\((8,0)\)
Required
The equation
The slope intercept form of an equation is:
\(y = mx + b\)
Where:
\(m \to\) slope
So, by comparison:
\(m = 0.75\)
For a line parallel to \(y = 0.75x\), it means they have the same slope of:
\(m = 0.75\)
The equation of the line is then calculated using:
\(y = m(x - x_1) + y_1\)
Where:
\(m = 0.75\)
\((x_1,y_1) = (8,0)\)
So, we have:
\(y = 0.75(x - 8) + 0\)
Open bracket
\(y = 0.75x - 6 + 0\)
\(y = 0.75x - 6\)
Find the slope of the line that passes through (5,8) and (1,1)
Answers
The expression for the slope of a line is express as :
\(\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}\)The given coordinates : ( 5, 8 ) & ( 1, 1 )
Substitute the coordinates and simplify :
\(\begin{gathered} \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(5,8)(x_2,y_2)\text{ = (1,1)} \\ \text{ Slope=}\frac{1-8_{}}{1-5} \\ \text{ Slope=}\frac{-7}{-4} \\ \text{ Slope=}\frac{7}{4} \end{gathered}\)Slope = 7/4
Answer : The slope of the line that passes through (5,8) and (1,1) is 7/4