Answer:
A) $13.79 per ticket
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential increase function:
A = P (1 + r) t
Where:
p = original price
r = increase rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
Feel free to ask for more if needed or if you did not understand something.
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.
Question 15 options:
25,351 units2
149,473 units2
3,758 units2
2,362 units2
Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function
[tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]
By using integration formula
[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]
[tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]
On integration , we get
= [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]
[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]
= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]
After simplification and cancellation we get
= [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]
on calculation , we get
= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]
On L.C.M 15
= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]
= 25 351.2 units²
Conclusion:-
The area of the region between the graph of the given function and the x-axis = 25,351 units²
HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?
15 over 31
16 over 31
15 over 16
16 over 15
Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?
10%
40%
50%
60%
Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
1. certain
2.15/31
3.40%
4.unlikely
what is the measure of acb
CBA = 180 - 70 (linear pair)
=110
ACB = 180- (20+110)
= 180-130 = 50
15 pts!!! will mark BRAINLIEST Sharon found a couch for $1,770.00. The sales person said it was on sale for 25% off. How much did Sharon pay for the couch if she also had to pay 6% sales tax on the total?
Answer:
$1407.15
Step-by-step explanation:
$1,770.00*0.25= $442.5
$1.770-$442.50 = $1327.5
$1327.5*0.06 = $79.65
$1327.50+$79.65 = $1407.15
There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?
Answer:
c.
Step-by-step explanation:
That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C
Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
Please help with the question (it is the image lol) thanks!
Answer:
Volume of the liquid left in the container will be 80 ml.
Step-by-step explanation:
Two containers A and B having equal volumes of the liquid has been shown in the figure attached.
Let the volume of the liquid in each container = x ml
120 ml of the liquid was poured in container B from container A.
Volume of liquid in container B = 4 × Volume of the liquid in container A
x + 120 = 4(x - 120)
x + 120 = 4x - 480
4x - x = 480 + 120
3x = 600
x = 200 ml
Volume of the liquid left in container A = 200 - 120
= 80 ml
Therefore, volume of the liquid left in the container A will be 80 ml.
y =6x— 11
— 2x — Зу = -7
Solve the systems of equation by substitution
Step-by-step explanation:
substitute the value of y in terms of x
-2x - 3(6x-11)= -7
-2x - 18x+ 33=-7
-20x= -40
x = -40/-20
x= 2
substitute x=2 in first equation
y= 12-11
y= 1
Answer:
D (2, 1)
Step-by-step explanation:
on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1
Answer:
5/10
Step-by-step explanation:
0.5 is 5 tenths which is 5/10
Please answer fast, dhehdhhd
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
Plz help i hate math obvious
Answer:
2) 14 times 3) 210 times
Step-by-step explanation:
2) every second, a monarch butterfly will beat its wings 14 times
3) lets use the following formula
An=A1 +(n-1)d
A15= 14 + (15-1)14
A15= 14+14*14
A15= 14+196
A15= 210
210 times in 15 seconds
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.
Answer:
3/4
Step-by-step explanation:
Find two consecutive whole numbers that 82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)
The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4
Answer:
the mode is 4
Step-by-step explanation:
the 4 appears more than the other numbers
Answer:
4
Step-by-step explanation:
Mode = Number shown the most.
CN someone help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
Plz Help!
Hank has cards that are 4 inches by 2 inches. A stack of these cards fits inside the box shown and uses up 8 cubic inches of volume.
L 4 in.
W 2 in.
H 2 in.
Part 1 out of 2
How tall is the stack of cards?
The stack is ___ inch(es) tall.
Find the volume of a cone with the diameter of 40, and a height of 12.
(Hint: the volume of a cone is 1/3*b*h where the "b" is the area of the
base of the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for P1!!! *
Answer:
Step-by-step explanation:
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this
triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Save and Exit
Next
Submit
Mark this and retum
I NEED HELP ASAPPP!!!!!
Answer:
it must be 8cm + 9 cm
Step-by-step explanation:
A Triangel has three sides: a, b, c
The rule is, that in the triangle it is always:
a+b>c
a+c>b
b+c>a
The given side is 13 cm, so the two other sides need to be bigger than 13 cm.
5 cm + 8 cm = 13 cm - cannot be the two sides
6 cm + 7 cm = 13 cm - cannot be the two sides
7 cm + 2 cm = 9 cm < 13 cm - cannot be the two sides
8 cm + 9 cm = 17 cm > 13 cm - these are the sides you looked for!
This sphere has a diameter of 5 m. What is the volume of the sphere?
Answer:
65.46 meters cubed
Step-by-step explanation:
Answer: the answer is V= 125/6πm^3
Step-by-step explanation: edge 2021
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
https://brainly.com/question/22247684
#SPJ2
Given this rectangular prism with length
= 15 m, height
= 25 m, and Volume
13, 500 m*, find the missing width of the prism:
V = 13,500 m²
25 m
15 m
? m
Answer: width = 36 m
Step-by-step explanation:
Width = Volume / (height x length)
Width = 13500 / (25 x 15)
= 13500/375
= 36 m
The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?
A. 20% of eighth-grade students preferred the seacoast
B. 32% of seventh-grade students preferred the mountains
C. 40% of students preferred the mountains
D. 48% of students preferred the seacoast
Answer:
The statement true about the results of the survey is:
D. 48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
help me please i need this done ASAP
Answer:
20 miles
Step-by-step explanation:
1 : just use the line to trace how long it would be
question 2 <><><><><><><><><><><>
Answer:
I deserve brainliest just as all good boys deserves fudgeeeeee
Step-by-step explanation:
v^2 = 25/81
v= the square root of 25/81 = 5/9
since that isn't a choise, don't simplify.
D works too because negative x negative = positive
CCCCCCC
Answer:
C & D
Step-by-step explanation:
[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]
Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC
Answer: C
Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.
OR
Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.
Cherry: CL, CG, CO
Lemon: CL, GL, OL,
Grape: GC, GL, GO
Orange: CO, GO, LO
CL, CG, CO, GL, GO, LO
Please explain how you got your answer( worth 10 points)
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
