Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
Find the maximum value on (0, infinity) for f(x)=7x-2xlnx
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.
f(x)=7x-2xlnx
When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.
When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).
In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
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1/5 x 1/5 x 1/5 x 1/5
Does the infinite geometric series diverge or
converge? Explain.
5 + 20 + 80 + 320 +
Answer:
Diverge
Step-by-step explanation:
Infinite geometric series: In infinite geometeric series, if the common ratio 'r' is in between the interval -1 < r < 1, then it converges. If the common ratio 'r' is is not in the interval -1 < r < 1, then it diverges.5 + 20 + 80 + 320 + .....
[tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]
[tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]
r = 4 is not in the interval -1 < r < 1. So this infinite geometric series diverges.The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53
The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
Evaluating logarithmFrom the question, we are to determine the value of log b to the nearest hundredth
From the given information
[tex]log_{5}b = log_{9}48[/tex]
But,
[tex]log_{9}48 =1.76186[/tex]
∴ [tex]log_{5}b =1.76186[/tex]
By one of the laws of logarithm
∴ [tex]b =5^{1.76186}[/tex]
b = 17.0407
Then,
log b = log(17.0407)
= 1.2315
∴ log b ≅ 1.23
Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
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Answer:
The answer is 1.23
Step-by-step explanation:
Trust me I took the edge quiz 2022
The coordinates of the point SS are (7,6)(7,6) and the coordinates of point TT are (-2,6).(−2,6). What is the distance, in units, between the point SS and point T?T?
Answer:
9 units
Step-by-step explanation:
In the points S and T, the y- co ordinate are unchanged. So, the line joining S and T are parallel to x -axis.
So, the distance will be the sum of obsolute value of the x- coordinates.
Distance = I 7I + I - 2I
= 7 + 2
= 9 units
if line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b
Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of [tex]-7[/tex] our slope because [tex]7[/tex] in this step. In our case our slope is [tex]7[/tex] so in this step it becomes [tex]-7[/tex].
Moving onto the second part which is to get the reciprocal of the number which means that if we have [tex]\frac{1}{2}[/tex] then we would switch it to [tex]2[/tex]. In our case our number is [tex]-7[/tex] so we would make that into a fraction like this [tex]-\frac{1}{7}[/tex].
In conclusion, our final slope of the perpendicular line is [tex]-\frac{1}{7}[/tex].
Hope this helps! Let me know if you have any questions
Answer: " [tex]-\frac{1}{7}[/tex] " .
_____________
Step-by-step explanation:
Assume we have a two-dimension Cartesian plane graph;
in which equations of straight lines can be expressed in the form of:
" y = mx + b " ;
in which:
"m" is the slope; as well as the "coefficient" of "x" ;
and: "b" is the y-intercept; that is, the value "y" value of the "(x, y)" coordinate at the point which "x = 0" ; that is, where the graph crosses the "y-axis".
Given the ^aformentioned conditions:
Note that if we select a line that can be written in the format:
" y = mx + b " ; then another line that is "perpendicular" to that
[selected line] will have the slope, "m"; of the value that is the "negative reciprocal value" of the slope, "m" ; of the other line.
Note that is our problem, we select a line—in our given problem:
"Line a" —with a slope, "m = 7 " ;
which is perpendicular to the slope of "Line b" ;
→ then: the slope of "Line B" ; would be the "negative reciprocal value"
of "7" .
Note: " [tex]7 = \frac{7}{1}[/tex] " ; the recriprocal would be: " [tex]-\frac{1}{7}[/tex] " .
_____________
Hope this answer is helpful to you!
Using two or more complete sentences, describe how to find the general rule for the geometric sequence with
a
4
=
3
and
a
6
=
3
16
. In your final answer, include all of your calculations.
Answer:
123x222
Step-by-step explanation:
because2=2 and 4=4
The temperature was 6° C.
By how much has it fallen if it is now -5° C?
Answer:
11 °C
Step-by-step explanation:
Initial temperature = 6 °CFinal temperature = - 5°CChange in temperature= 6 - (-5)
= 6 + 5
= 11 °C
Hope it helps you in your learning process.
Answer:
The temperature has fallen by 11° C.
Step-by-step explanation:
6° C - (-5° C) = 11° C.
The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 48 square inches. Estimate its radius to the nearest tenth
The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The area of the circular mouse pad = 48 square inches
The area of the circle:
[tex]\rm A = \pi r^2[/tex]
[tex]\rm 48 = \pi (r)^2[/tex]
Take π = 3.14
r = 3.909 inches ≈ 3.91 inches
Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.
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find the two square roots of the number 16
Answer:
4
Step-by-step explanation:
square root of 16 is 4,
4*4 = 16
Answer:
The square root of 16 is 4.
Step-by-step explanation:
Find the measure of
Step-by-step explanation:
angles a,f,g form a triangle
sum of angles in ∆ = 33 + 112+ a = 180
145 + a = 180
a = 35°
Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g.
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
Answer:
First blank: The same axis of symmetry
Second blank: Greater than
Third blank: Less than
Step-by-step explanation:
PLATO
Please mark Brainliest <( ¨ )
Use the diagram to the right to find value of x and y
Answer: Alternativa B
X= 12 raíz de 3 e Y= 6.
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
(4, 0) and (-2, 0)(1, -9)(0, -8)Step-by-step explanation:
Finding the x-intercepts :
y-value of the x-intercept is 00 = (x - 4)(x + 2)x - 4 = 0 ⇒ x = 4x + 2 = 0 ⇒ x = -2The x-intercepts are : (4, 0) and (-2, 0)Finding the vertex :
Expanding the function ff(x) = (x - 4)(x + 2)f(x) = x² - 4x + 2x - 8f(x) = x² - 2x - 8Vertex = (h, k)h = -b/2a = -(-2)/2(1) = 1k = (1)² - 2(1) - 8k = 1 - 2 - 8 = -9The vertex is : (1, -9)Finding the y-intercept :
Substitute x = 0 in the functionf(0) = 0² - 2(0) - 8f(0) = -8The y-intercept is : (0, -8)In order to find x-intercept, the f(x) or y will be 0
=================
(x-4)(x + 2) = 0
(x-4) = 0, (x + 2) = 0
x = 4, x = -2
x intercepts: (4, 0) and (-2, 0)
2) What is the ordered pair of the vertex?In order to find vertex use the formula: x = -b/2a
y = (x-4)(x + 2)
y = x² -4x + 2x -8
y = x² - 2x -8
Now find x-coordinate of vertex:
x = -(-2)/2(1)
x = 2/2
x = 1
y coordinates: (1-4)(1 + 2) = -9
Ordered pair of vertex: (1, -9)
3) What is the y intercepts of the graph?In order to find y intercept, insert x = 0
y = (0-4)(0 + 2)
y = -8
y intercept: (0, -8)
Which expressions result in a product that has a best estimate of 60? Select all that apply. A. 0 . 63 × 104 B. 32 . 4 × 21 C. 1 . 1 × 58 D. 0 . 18 × 27 E. 6 × 9 . 82
The expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have value of quantity is 60
A) 0.63×104 = 65.52
B) 32.4×21 = 68.04
C) 1.1 × 58 = 63.8
D) 0.18×27 = 4.86
E) 6×9.82 = 58.92
The value of 6×9.82 is 58.92 which is best estimate of 60.
Thus, the expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.
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Answer: a b e
Step-by-step explanation:
What is the length of ZA? ZA = 3cm ZA = 4cm ZA = 5cm ZA = 6cm
Answer:
please what is the correct question
Answer: its the last one
Step-by-step explanation:
More common denominators with Aleks
Answer:
1/10
Step-by-step explanation:
1/2 - 2/5
common denominator is 10 (2x5)
5/10 - 4/10 = 1/10
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M
Answer:
hope it's helpfull...... ;)
Help me please asap!!! NOTE : PLEASE LOOK AT THE 3 PICTURES & I NEED A EXPLANATION
Step-by-step explanation:
3/5 - 1/3 = 4 /15
5/6 - 2/3 = 5/6 - 4/6 = 1/6
7/9 - 2/3 = 7/9 - 6/9 = 1/9
5/8 - 1/6 = (15 - 4) /24 = 11/24
(All the above ones I have taken common factor and subtracted them)
5 x 9/10 = 45/10 = 9/2 (simplified)
2/7 x 3 = 6/7
3 x 2/15 = 6/15
4x 2/6 = 8/6 = 4/3 (simplified form)
Hope this helps!!!
Determine if (0, 3) is a solution to y > 2. If so, graph the inequality.
Zahara asked the students in her class their gymnastic scores and recorded the scores in the table shown below:
Gymnastic Scores
Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2
Based on the table, what is the mean gymnastic score?
Answer:
It would be 3.5
Step-by-step explanation:
1+1+2+6+4+3+2
so the mean is 3.5
Image attached:- Solve if you can!
What is seven minus 4
Answer:
3
Step-by-step explanation:
7-4 = 3
4 = 1 + 1 + 1 + 1
So...
Substitute 4 with 1+1...
7 - 1 - 1 - 1 -1
Get rid of the ones one at a time:
6 - 1 - 1 - 1
5 - 1 - 1
4 - 1
3
Mark brainliest please!
4) In each of the following figures, find the value of the angles a,b,c,x,y,and z
Step-by-step explanation:
due to the principle of identical angles in parallel lines when intercepted by an inclined line,
y = 49°
the angles above an intersected line are the same as below that intersected line (just mirrored left-right).
and at the bottom, the angles an insecticide line has with one line must be the same as with another line that is parallel to the first line.
so, both indicated angles are the same as the original angle on the top : 49°
Patrick is designing a large stained glass window for the library. If the area of the window is 36 feet, how long is each side
Answer Number 2 pleaseeee
Answer:
Yes
Step-by-step explanation:
ANSWER FAST, WILL MARK!!!
Answer:
(2, 3)
Step-by-step explanation:
The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.
Answer:
(x,y) = (2,3) so C?
Step-by-step explanation:
=> y = x/2+2
=> y = x + 1
from that info, you can tell y = y, meaning x/2 + 2 = x+1
solving:
=> x/2 + 2 = x + 1
=> 1/2x +2 = x + 1
=> -x -x
=> - 1/2x + 2 = 1
=> -2 -2
=> -1/2x = -1
=> * 2/-1 * 2/-1
=> x = 2
solve using substitution now:
(let's plug it in to the easiest y = statement)
=> y = x+1
=> y = 2 +1
=> y = 3
(2,3) is your answer
Ms. Remi is planning a dance recital for her students. The maximum duration for the recital is 120 minutes. Group dance performances last 8 minutes and solo dance performances last 3 minutes. x = the number of group dances on the program y = the number of solo dances on the program Which inequality in standard form represents this situation?
A) 3x + 8y ≥ 120
B) 3x + 8y ≤ 120
C) 8x + 3y ≥ 120
D) 8x + 3y ≤ 120
The inequality in a standard form that represents the given statement will be equal to 8x + 3y ≥ 120.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given data available in the question,
The maximum duration of the recital is 120 minutes.
Time for group dance = 8 minutes.
Time for solo dance = 3 minutes.
Then, the inequality will be,
8x + 3y ≥ 120
Here, x is the number of group dances on the program, and y is the number of solo dances on the program.
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What is the surface area of this figure?
Answer:
582 ft squared
Step-by-step explanation:
15*9*2 = 270
15*4*2 = 120
6*6*2 = 72
9*4*2 = 72
6*4*2 = 48
270 + 120 + 72 + 72 + 48 = 582
There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
A. How many different ways are there of selecting the three balls?
B. What is the probability that one of the balls selected is the number 5?
Answer:
A=1000
B=3.33
Step-by-step explanation:
I think?
A. The total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.
B. The probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
What is th eformula for permutation?The formula for the permutation is
[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]
Where,
n is the total number of objects
r is the total number of selected students
[tex]^{n} P_{r}[/tex] is the total number of permuations
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
According to the given question.
Total number of balls in a bag = 10
A. Three balls are selected at a randow.
Since, repetition is not allowed or replacement is not allowed.
So, the number of ways selecting the first ball is 10
Number of ways selectiong the second ball is (10-1)
Number of ways selecting the third ball is (9-1)
Therefore,
The total number of ways or permutation selecting three balls from a bag
= [tex]^{10} P_{3}[/tex]
[tex]= \frac{10!}{(10-3)!}[/tex]
[tex]= \frac{10!}{7!}[/tex]
[tex]=\frac{10\times 9\times 8\times 7!}{7!}[/tex]
[tex]= 10\times 9\times 8[/tex]
[tex]= 720[/tex] ways
Hence, the total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.
B.
Total number of ball in a bag = 10
Total number of ball in a bag marked with 5 = 1
Thereofre,
the probability of selecting a ball marked with number 5
= [tex]\frac{total\ number\ of \ balls\ marked\ with \ number\ five\ }{total\ number\ of\ balls\ in\ a \ bag}[/tex]
[tex]= \frac{1}{5}[/tex]
Hence, the probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].
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