Question is incomplete
Answer:
See Explanation
Step-by-step explanation:
Let the cubic function be
[tex]f(x) = (x,y)[/tex]
First transformation: Vertical compression
Let the scale factor be a where [tex]0 < |a| < 1[/tex]
The new function becomes:
[tex]f'(x) = (x,ay)[/tex]
Next: Reflection over y-axis
The rule is: [tex](x,y)=>(-x,y)[/tex]
The new function becomes:
[tex]f"(x) = (-x,ay)[/tex]
Lastly: Shifted up
Let the units up be b
The rule is: [tex](x,y)=>(x,y+b)[/tex]
So, the new function becomes:
[tex]f"'(x) = (-x,ay+b)[/tex]
Using the rules states above, assume the cubic function is:
[tex]f(x) = x^3[/tex]
Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]
[tex]f'(x) = \frac{1}{2}x^3[/tex]
Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis
Rule: [tex]f"(x)= f'(-x)[/tex]
Solving f'(-x)
[tex]f'(x) = \frac{1}{2}x^3[/tex]
[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]
[tex]f'(-x) = -\frac{1}{2}x^3[/tex]
So:
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3
Rule: [tex](x,y)=>(x,y+b)[/tex]
[tex]f'"(x) = f"(x + 3)[/tex]
Solving: f"(x + 3)
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Substitute x + 3 for x
[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]
So:
[tex]f'"(x) = f"(x + 3)[/tex]
[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]
Need help with this;
Answer:
See belowStep-by-step explanation:
Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per yearCalculations as per following questions
a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $1472) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work
Answer:
3.5
Step-by-step explanation:
1-List the numbers from least to greatest
1, 1, 2, 3, 4, 4, 6, 9
2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.
3- Add 3+4 Together
7
4- Divide by two
3.5
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
17, 7, 13, 17, 7, 9, 10
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
11
Step-by-step explanation:
Answer:
11.4 (This is already rounded to the nearest tenth)
Step-by-step explanation
1.) Add all of them
17+7+13+17+7+9+10=80
2.) Divide the sum by how many numbers there are
In this case, there are 7, so 80/7 is 11.42...
3.) Get the answer
80.7 simplifies into 11.42 so rounded to the nearest 10th is 11.4.
Hope this helped. Good luck on your homework!
Find the area of the figure
Answer: its either 2.5 or 16
Step-by-step explanation: hope this is helpful I don't know if these answers are right...
8.94427191 rounded to the neareast 10th
Answer:
8.9
Step-by-step explanation:
Answer:
the answer will be 8.9 if im not wrong
Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest
Answer:
8/2=4
4*6=24
10*8=80
80+24=104
104
Find m Please let me know if you could help me, with any more questions. I’m struggling in geometry. I wanna get back to doing sports again!
9514 1404 393
Answer:
∠C = 48°
Step-by-step explanation:
The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.
Angle A plus the two given angles will total 180°.
∠A = 180° -70° -62° = 48°
∠A = ∠C = 48°
Answer:
c=48°
Step-by-step explanation:
...............
Convert 121
5
to mixed fraction.
Answer:
24 1/5
Step-by-step explanation:
I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction
24 1/5
Which of the following tables represent exponential functions?
Answer:
Step-by-step explanation:
it is the top 2
Sandy pays $120 for 4 violin lessons. How much does she pay for 8 violin lessons?
Answer:
$240
Step-by-step explanation:
120x2
Answer:
240
Step-by-step explanation:
120x2= 240
or
120+120=240
Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?
Answer:
60 runs
Step-by-step explanation:
Given that:
Score in first innings = 30 runs
Change in score during second inning = + 30
The score in the second inning will be :
Score in first inning + change in score during second inning
30 + (+30)
30 + 30
= 60 runs
Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the shoes to the nearest cent?
5.
Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours.
A. 3 miles
B. 3 miles per hour
C. 2 hours
D. 2 miles per hour
Answer:
c
Step-by-step explanation:
c
The momentum of a variable is represented by the rate of change. The rate of change for the situation is 3 miles per hour.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.
Given the distance covered in one hour is 3 miles, while the distance covered in 2 hours is 6 miles. In the given case, the rate of change for the situation, therefore,
Rate of change = (6miles-3miles)/(2hours-1hour) = 3miles/hour.
Hence, the rate of change for the situation is 3 miles per hour.
Learn more about Rate of Change:
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A number q divided by 5 is 8
Answer:
q = 40
Step-by-step explanation:
[tex]\frac{q}{5} = 8[/tex]
multiply 5 on boths sides:
[tex]\frac{q}{5} x 5 = 8 x 5[/tex]
q = 40
to check:
[tex]\frac{40}{5}[/tex] = 8
Answer:
q = 40
Step-by-step explanation:
5,10,15,20,25,30,35,40
1 2 3 4 5 6 7 8
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off
coupon. Which statement correctly summarizes her savings?
It seems most likely that ...
... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
_____
In the real world, it seems probable that Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.
The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.
Answer:
The answer is B. (Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction.)
Step-by-step explanation:
I just took the test! Gl<3
does anyone know the answer?
Major arc CBD measures 300 degrees. Which is the radian measure of its corresponding central angle? O 4 pie/3 O 5 pie/6 O 5 pie/3 O 11 pie/6
Answer:
[tex]\dfrac{5\pi}{3}[/tex]
Step-by-step explanation:
Given that,
Major arc CBD measures 300 degrees.
We need to find the radian measure of its corresponding central angle.
Radian measure is given by :
[tex]R=\dfrac{\pi}{180}\times d\\\\R=\dfrac{\pi}{180}\times 300\\\\R=\dfrac{5\pi}{3}[/tex]
So, the radian measure is [tex]\dfrac{5\pi}{3}[/tex].
is 10y - 4 equivalent to 2 (5y - 2)?
Apply the distributive property to 2(5y - 2).
2 (5y - 2) = 10y - ____ Please answer!! Fast!!
Answer:
Yes, it is equal10y - 4Step-by-step explanation:
Yes, it is equal
2 (5y - 2) =
2 x 5y - 2 x 2 -
10y -4
Hope that helps!
Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?
Answer:
2.625
Step-by-step explanation:
Last week Thomas ran 5 1/4 miles
This week he plans to run 1/2 miles as far
Therefore the number of miles he plans to run cann be calculated as follows
= 5 1/4 × 1/2
= 21/4 × 1/2
= 21/8
= 2.625
Hence Thomas plans to run 2.625 miles
A bank's electronic management system lacks the ability to protect a client's confidential information. To what type of risk does this expose the client?
market risk
security risk
operational risk
credit risk
What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?
D
+
4
F
Sus
7
+
3
+
8
+
9
5
-2
1
0
1
2.
3
4
5
6
10
-1
0
2.
3
Answer:
2
Step-by-step explanation:
The location of point G which partitions the directed line segment from D to F into a 5:4 ratio is; x = 3
Division of a Line Segment
The formula for coordinate of a point that divides a line segment in a ration is given by;
x = (mx₂ + nx₁)/(m + n)
We are given the ratio 5:4
Thus m = 5 and n = 4
The endpoints of DF are D(-2) and F(7)
Thus;
x = ((5*7) + 4(-2))/(5 + 4)
x = 27/9
x = 3
Thus, the location of point G which partitions the directed line segment from D to F into a 5:4 ratio is x = 3
Read more on division of a line segment at; https://brainly.com/question/8009114
Find the perimeter of the rectangle in yards.
Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?
Answer:
FV= $10,714.81
Step-by-step explanation:
Giving the following information:
Initial investment= $7,567
Number of periods= 7*4 = 28 quarters
Interest rate= 0.05/4= 0.0125
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 7,567*(1.0125^28)
FV= $10,714.81
Question 13 (5 points)
Keith has $75 from a saved allowance. He needs at least $135 for a new pair of
sneakers. Keith needs no less than more to buy the sneakers.
A) $72
B) $60
O g) 878
D) $56
Question 14 (5 points)
help
Ika nilai rata-rata 20 orang murid adalah 7,5. Kemudian, seorang murid menyusul ulangan dan mendapatkan nilai 8. Berapa nilai rata-rata sekarang?
Answer:
Average grade now = 7.524
Step-by-step explanation:
Given - If the average score of the 20 students is 7.5. Then a student follows the test and gets a grade of 8.
To find - What is your average grade now?
Proof -
Given that,
Average score of 20 students = 7.5
So,
Total value of students = 20 × 7.5 = 150
Now,
Given that, One person added ang his grade is 8
So,
So Total value of 21 students = 150 + 8 = 158
Now,
Average score of 21 students = [tex]\frac{158}{21}[/tex] = 7.5238
∴ we get
Average grade now = 7.524
PLEASE HELP ME NOW!!!! 100 POINTS!!!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
7 balls
12 balls
48 balls
Answer: 12 balls i think
Answer:
answer is 12
Step-by-step explanation:
i took the quiz.
Find the missing values in the ratio table. Then write equivalent ratios.
5:3 ?:12 10/3:? ?:5
Answer:
5 15 10/3 7
3 12 12/3 5
Step-by-step explanation:
The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio table is;
Pies 5 x 10/3 z
Cakes 3 12 y 5
Now,
Since, The ratios are equivalent to each other.
Thus, We can solve to find the value of x, y and z as;
⇒ 5 : 3 = x : 12
⇒ 5/3 = x/12
Multiply by 12;
⇒ 5 × 12 / 3 = x
⇒ 20 = x
And, 5 : 3 = 10/3 : y
⇒ 5/3 = 10/ (3× y)
⇒ 5/3 = 10/3y
Multiply by 3;
⇒ 5 = 10/y
⇒ y = 10/5
⇒ y = 2
And, 5 : 3 = z : 5
⇒ 5/3 = z/5
Multiply by 5;
⇒ 25/3 = z
⇒ z = 25/3
Therefore, The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
Learn more about the ratio visit:
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At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?
Answer:
62.5 %
Step-by-step explanation:
The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups = 25 + 15 = 40
So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
p = 25/40 × 100%
p = 25/4 × 10 %
p = 6.25 × 10 %
p = 62.5 %
Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
5. Using the factor tree, What are the prime factors of 36
Answer:
Step-by-step explanation:
A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².