Answer: 2x+52=2(x+26)
3x-35=-105
Step-by-step explanation:
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84PLEASE ANSWER FAST
How much power is required to lift a 240 N table up 3 m in 20 seconds?
A. 1600 W
B. 0 W
C. 36 W
D. 720 W
Answer:
I am not sure but the answer may be 36 w
Answer:
A.1600
Step-by-step explanation:
I hope its help keep safe
the radius of a circle measures 7 inches. a central angle of the circle measuring 4pi/15 radians cuts off a sector. what is the area of the sector? Enter your answer as simplified fraction in the box.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =\frac{4\pi }{15} \end{cases}\implies A=\cfrac{ ~~ \frac{4\pi }{15}(7)^2}{2}\implies A=\cfrac{98\pi }{15}\)
What is an equation of the line through (0, -3) with slope 25?
Answer:
y = (2/5)x - 3
Step-by-step explanation:
Brainliest pls
Answer: y = mx + b
y=-3 x=0 and m=2/5
-3 = (2/5)0 + b
Since 2/5(0) is 0, b must be -3
Step-by-step explanation: Since you know the slope and you know one point, all you have to do is plug the slope and the coordinates into the slope-intercept form and solve for b. You can check your answer by finding another point on the line and verifying that the equation works for that point, as well. Add the slope to the given point and you get ( 5 , -1 )
-1 = (2/5)5 - 3
-1 = 2 - 3 -1 = -1 So you know your answer is correct
For each pair of functions f, g below, find f(g(x)) and g(f(x))
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
Answer:
See below
Step-by-step explanation:
Part A
\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)
Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other
Part B
\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)
Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other
Distributive property simplify 5(3v-7)
Answer:
\(15v-35\)
Step-by-step explanation:
The distributive property states that \(a(b+c)=a*b+a*c\), where \(a\), \(b\), and \(c\) are real numbers. In this case, \(a=5\), \(b=3v\), and \(c=-7\). Therefore, \(5(3v-7)=5*3v+5*(-7)=15v-35\). Hope this helps!
Answer:
15v - 35
Step-by-step explanation:
start by distributing 5 to 3v.
5(3v - 7) aka 5 · 3v ⇒ 15v
distribute 5 to -7.
5(3v - 7) aka 5 · -7 ⇒ -35
you are left with 15v and -35, therefore your simplified expression is 15v - 35.
i hope this helps! have a lovely day <3
Can someone help me out figure what the answers are. Was only able to get 4.
The completed table of the functions and inverses can be presented as follows;
1. t(x) → a(x)
2. Q(x) → B(x)
3. G(x) → c(x)
4. f(x) → D(x)
5. y(x) → w(x)
6. e(x) → R(x)
7. U(x) → H(x)
8. P(x) → J(x)
9. m(x) → k(x)
10. S(x) → n(x)
Which method can be used to complete the table?Making x the subject of the given functions to find the inverse gives;
1. a(x) = 2•(x - 6)
Therefore;
x = (a(x)/2) + 6
t(x) = (x/2) + 6
Therefore;
t(x) → a(x)2. G(x) = (1/4)•x²
4•G(x) = x²
x = 2•√(G(x))
3. B(x) = √(x)/4
4•B(x) = √(x)
x = 16•(B(x))²
Q(x) = 16•x²
Therefore;
G(x) → c(x)4. D(x) = (x + 6)/2
x = 2•D(x) - 6
f(x) = 2•x - 6
Therefore;
f(x) → D(x)5. y(x) = (4•x + 2)²
(√(y(x)) - 2)/4 = 4•x
w(x) = (√(x) - 2)/4
Therefore;
y(x) → w(x)6. R(x) = (1/4)•(4•x)²
x = √(4•R(x))/4 = √(R(x))/2
e(x) = √(x)/2
Therefore;
e(x) → R(x)7. H(x) = 2•x + 6
(H(x) - 6)/2 = H(x)/2 - 3
x = H(x)/2 - 3
U(x) = x/2 - 3
Therefore;
U(x) → H(x)8. J(x) = (√(x + 2))/4
x = (4•J(x))² - 2
P(x) = (4•x)² - 2
Therefore;
P(x) → J(x)9. k(x) = x/4 + 3
x = 4•(k(x) - 3) = 4•k(x) - 12
m(x) = 4•x - 12
Therefore;
m(x) → k(x)10. n(x) = 4•(x + 3)
x = n(x)/4 - 3
S(x) = x/4 - 3
Therefore;
S(x) → n(x)Learn more about making a variable the subject of a formula here:
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On the coordinate grid, the graph of y = 3x - 1 + 3 is
What is the domain of the graphed function?
shown. It is a translation of y = 3x.
Ty
{x 1
O {y|1 < y<5}
{x x is a real number}
O {yly is a real number}
6
5
Step-by-step explanation:
the domain is the interval or set of all valid input values (values of x).
while the range is the interval or set of all valid result values (y values).
so, we don't need to look at the answer options dealing with y. the domain only concerns x.
and when you look at the graph it shows you that every number on the x-axis from all the way to the left to all the way to the right is valid (from -infinity to +infinity).
and the function itself (the cubic root of x) did not provide any theoretical limits. you can take the cubic root from any number, positive or negative.
therefore, the third answer option is correct (all x, where x is a real number).
The domain of the function is the set of all real numbers, written as:
D: {x| x ∈ R}
How to find the domain of a function?
The domain of a function f(x) is assumed to be the set of all real numbers, and then we remove the problematic points.
Problematic points can be zeros in denominators, or negative arguments in square roots, for example.
In this case, our function is:
f(x) = ∛(x - 1) + 3
As you may know, we can input any real value in a cubic root and it will not generate any problem, and we don't have any denominator here, so there are no problematic points.
Thus, the domain of this function is just the set of all real values, written as:
D: {x| x ∈ R}
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Solve x²y = 1, y²z = 128, z²x = 32
i cant seem to find the answer
The value of x,y and z are 1/2, 4 and 8 respectively.
x²y = 1 ...(1)
y²z = 128 ...(2)
z²x = 32 ...(3)
To simplify the equations -
Multiplying equation (1), (2) and (3)
⇒ (xyz)³ = 2¹²
⇒ (xyz)³ = (2⁴)³
⇒ xyz = 2⁴
⇒ xyz = 16
⇒ xy = 16 / z
Putting the value of y in equation 1
xy.x = 1
16 . x / z = 1
z = 16x ....(4)
Putting value of z in equation (3)
⇒ (16x)² . x = 32
⇒ 256.x³ = 32
⇒ x³ = 1/8
⇒ x = 1/2
Now putting value of x in equation (4).
Z = 16 × 1/2
Z = 8
Now, putting value of x and z in xyz = 16
1/2 × y × 8 = 16
y = 4
Hence, the value of x,y and z are 1/2, 4 and 8 respectively.
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Translate the sentence into an equation.
The sum of 8 times a number and 3 is 9.
Use the variable w for the unknown number.
Answer:
8w + 3 = 9
w = 0.75
Step-by-step explanation:
okay so the sum of ( addition ) 8 times a number ( 8w ) and 3 is ( equal to ) 9
so we got ( 8w + 3 = 9 ) and simplified we get ( w = 0.75 )
hope this helps !
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data
pleaseeee helpppp
Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode. HOPE THIS HELPED !!!
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
I need help fast! The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
60
Step-by-step explanation: will from the other two degrees added together then subtract from 180 and boom there's your answer
Answer:
x=8
Step-by-step explanation:
The sum of angles of any triangle=18076+44=120
so to get the value of the remained angle subtract that from 180
180-120=60
so
8x-4=60 add 4 to both sides
8x=64 divide both sides by 8
x=8
Ms. Wall will roll a dice. What is
the probability that she will roll an even number?
Answer:
50%
Step-by-step explanation:
half of the numbers on dice are even
Please help me I don’t understand …
Answer:
X=90°
Y=58°
Z=32°
Step-by-step explanation:
X=180°-90°=90°
Y=180°-90°-32°=58°
Z=180°-58°-90°=32°
Answer:
x = 90°, y = 58°, z = 32°
Step-by-step explanation:
The angles in a square = 90° , then
x = 90° ( adjacent angle )
The sum of the 3 angles in a triangle = 180° , then
x + y + 32° = 180° , that is
90° + y + 32° = 180°
y + 122° = 180° ( subtract 122° from both sides )
y = 58°
y + 90° + z = 180° ( straight angle )
58° + 90° + z = 180°
148° + z = 180° ( subtract 148° from both sides )
z = 32°
7. Defects in poured metal caused by contamination follows a Poisson distribution with average number of occurrences being 2 per cubic millimeter. What is the probability that there will be at least three defects in a randomly selected cubic millimeter of this metal
Answer:
\(P(x\geq 3)=0.3233\)
Step-by-step explanation:
If the number of defects in poured metal follows a Poisson distribution, the probability that x defects occurs is:
\(P(x)=\frac{e^{-m}*(m)^{x}}{x!}\)
Where x is bigger or equal to zero and m is the average. So replacing m by 2, we get that the probability is equal to:
\(P(x)=\frac{e^{-2}*(2)^{x}}{x!}\)
Finally, the probability that there will be at least three defects in a randomly selected cubic millimeter of this metal is equal to:
\(P(x\geq 3)=1-p(x\leq 2)\\\)
Where \(P(x\leq 2)=P(0)+P(1)+P(2)\)
So, P(0), P(1) and P(2) are equal to:
\(P(0)=\frac{e^{-2}*(2)^{0}}{0!}=0.1353\\P(1)=\frac{e^{-2}*(2)^{1}}{1!}=0.2707\\P(2)=\frac{e^{-2}*(2)^{2}}{2!}=0.2707\)
Finally, \(P(x\leq2)\) and \(P(x\geq3)\) are equal to:
\(P(x\leq 2)=0.1353+0.2707+0.2707=0.6767\\P(x\geq 3)=1-0.6767=0.3233\)
Note: Enter your answer and show all the steps you use to solve this problem in the space provided.
Find the product and explain the process and reasoning. Explain how you determined the location of the decimal point.
0.67×0.3=
Answer:
(67/100)×(3/10)= (67x3)/(100×10)=201/1000=201/1000=0.201
if 9th term ofap is 99 and 99th term is 9 which term is zero
]
Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero
For what values of X are the statements below true
A. 1x>x+1
B. |1-x| > 3
C.|x-15| < 0
Answer:
See solutions below
Step-by-step explanation:
For what values of X are the statements below true
A. 1x>x+1
x >x+1
x-x>1
0x > 1
x > 1/0
X >∞
B) |1-x|>3
The fucntion can both be positive and negative
For the negative function
-(1-x) > 3
-1+x > 3
x > 3+1
x > 4
For the positive function
1-x > 3
-x > 3 - 1
-x > 2
x < -2
Hence the required solutions are x > 4 and x < -2
c) For the equation
|x-15| < 0
-(x - 15) < 0
-x + 15 < 0
-x < -15
x > 15
Also x-15 < 0
x < 0+15
x < 15
Hence the required solution is x > 15 and x < 15
Find all points on the x-axis that are 16 units from the point (5,-8)
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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help plss i need help in question 2
Answer:
Tropic Fresh Fruit Punch
Step-by-step explanation:
You have to find how many cups of concentrate both brands use per cup of water. To do that, you divide the cups of concentrate by the cups of water.
Tropic Fresh Fruit Punch - 22/10=2.2
Merry Berry Fruit Punch - 13/6=2.17 (rounded to the nearest hundredth)
Since 2.2 is bigger than 2.17, Tropic Fresh Fruit Punch has the more fruitier concentration of punch.
what is 4=y−5 divided by 3
( the problem is written different it could also be read ad 4=y-5/3 i think because there is like a long line under the y-5 an under the line its 3 plz help
Answer:
y=17
Please mark me as brainliest.
z^2+x-x: use x=3, and z=-2
Answer:
31 and 4
Step-by-step explanation:
Factor the polynomial
Answer:
(5x+12) (5x-12)
Step-by-step explanation:
Use the difference of squares fromula. \(a^{2} -b^{2} =(a+b)(a-b)\)
Where a = 5x and b =12.
A+B + C = 180
A= 36
What is x
Answer:
which is x here
please write complete question
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Felix is constructing a three-dimensional figure. First he draws the views for the figure. A bottom row of 6 cubes, second row of 3 cubes, and top row of 3 cubes. A column of 2 cubes. A bottom row of 6 cubes, and second row of 2 cubes. Column of 3 cubes. Which views can Felix use to construct the same figure? A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A column of 2 cubes. A column of 3 cubes. A bottom row of 6 cubes and second row of 2 cubes. A column of 2 cubes. A column of 3 cubes.
A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.
What is an isometric sketch?In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;
Front viewEnd viewPlanIn this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS
Answer:
1. 12.9
2. 14
Step-by-step explanation:
11, 18, 7, 14, 5, 16, 14. 18
Added Together it is 103.
Divided by 8, it is around 12.9
5, 7, 11, 14, 14, 16, 18, 18
Answer:
12.9 and 14Step-by-step explanation:
Given data:
11, 18, 7, 14, 5, 16, 14, 18Mean is the average:
(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:
5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are same