Answers
Answer:
3, -6, 12, -24, 48
Step-by-step explanation:
Given:
[tex]a_1=3[/tex][tex]a_{n+1}=-2 \cdot a_n[/tex]Therefore,
[tex]a_1=3[/tex]
[tex]a_2=-2 \cdot a_1=-2 \cdot 3=-6[/tex]
[tex]a_3=-2 \cdot a_2=-2 \cdot -6=12[/tex]
[tex]a_4=-2 \cdot a_3=-2 \cdot 12=-24[/tex]
[tex]a_5=-2 \cdot a_4=-2 \cdot -24=48[/tex]
Related Questions
Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:
y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?
Answers
=====================================================
Explanation:
I'm assuming you meant to write $10,600 instead of $10,6000.
We'll replace y with this value and solve for x.
[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]
Use the quadratic formula with a = -1, b = 50, c = -600
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]
We go for the smaller x value because the question asks "what is the least amount she can raise the price?".
If she raises the price by $20, then she would estimate to make about $10,600.
help solve please i will mark as brainliest
Answers
Answer:
4736 feet
(48×32/2)×2
(40×40)×2
The points (0,5) and (1.8) fall on a particular line. What is its equation in slope intercept form?
Answers
y = mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
what is the vertex of the graph of the quadratic function f(x)= x^{2} + 6x + 10?
Answers
Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - [tex]\frac{6}{2}[/tex] = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Please can anyone help me it's ur thinking
Answers
Answer:
Step-by-step explanation:
We simplify 16x - 12 - 24x + 4 as -8x - 8
1. 4+16x - 12(1+2x)
Break the bracket out, we get : 4+16x-12+24x
Simplify : -8 + 40x, not equivalent to -8x - 8.
2. 40x - 16
Divide this by 5, we get : 8x - 3.2 = -8x + 3.2 (not equivalent also.)
3. 16x - 24x - 4 + 12
Simplify : -8x + 8 (also not equivalent)
4. -8x-8
It's literally the same as the simplified form of the expression.
So, only the fourth expression is equivalent to the original one.
f(x) = 2x
g(x) = 8a
Find (f.g)(x). Assume x 20.
A. (fºg)(x) = 8x
B. (fºg)(x) = V10x
V
C. (fºg)(x) = 412
O D. (f.g)(x) = 4x
Answers
Answer:
whats the exact question screen shot it but i think *{{76 you have to {{ it since its a ombre
Step-by-step explanation:
Given the volume of the cone below, identify the radius, height, and diameter.
Note: Figure is not drawn to scale.
Answers
Given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmWhat is the Volume of a Cone?Volume of a Cone = 1/3 × πr²h
Given that the volume of the cone is: 60π
Thus:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 2(6) = 12 cmThus:
Volume = 1/3 × π × 6² × 5
Volume = 1/3 × π × 6² × 5 = 60π
Therefore, given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmLearn more about volume of cone on:
https://brainly.com/question/13677400
Answer:
Here is the answer as a picture.
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.
Answers
Answer:
960 pennies or $ 9.60
Step-by-step explanation:
2400/2.5 = 960 pennies
pls help! only if ur sure of the answer tysm
Answers
Answer:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
Step-by-step explanation:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
[tex]f(0)=27(\frac{1}{3})^0=27[/tex]
[tex]f(1)=27(\frac{1}{3})^1=9[/tex]
[tex]f(2)=27(\frac{1}{3})^2=3[/tex]
[tex]f(3)=27(\frac{1}{3})^3=1[/tex]
[tex]f(4)=27(\frac{1}{3})^4=\frac{1}{3}[/tex]
The difference of 16 and a number, divided by 2
Answers
Answer:
8
Step-by-step explanation:
Answer:
16 - x ÷ 2(16 - x) ÷ 216 - (x ÷ 2).Step-by-step explanation:
Difference meaning (Math):
Subtracting 2 numbers.If that's the meaning, equation should be:
16 - x ÷ 2.Remember:
Parenthesis are sometimes required.(16 - x) ÷ 216 - (x ÷ 2).What is the value of 1500 ÷ (62 + 4 ) · 37
Answers
Answer: 27750/31
Step-by-step explanation:
We first solve for what's in the parenthesis.
= 1500/66*37
Next we do division.
= 750/31*37
Lastly we do multiplication.
= 27750/31
Answer:
0.61425061425
Rounded: 0.61
Step-by-step explanation:
Following PEMDAS
(62+4)=66
66 times 37= 2442
1500 divided by 2442
What is the solution to the system of equations?
y=2x-7
y=-x+5
Answers
Answer:
(4, 1 )
Step-by-step explanation:
y = 2x - 7 → (1)
y = - x + 5 → (2)
substitute y = 2x - 7 into (2)
2x - 7 = - x + 5 ( add x to both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
substitute x = 4 into either of the 2 equations
substituting into (2)
y = - 4 + 5 = 1
solution is (4, 1 )
Given the function below, find f (3/2). f(x) = 2x^2 - 7x
Answers
Answer:
3 has to be 3
Step-by-step explanation:
n neg so 3
Baruti, a ranger in Kruger National Park in South Africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatter plot. A line was fit to the data to model the relationship.
10
10
20
20
30
30
40
40
50
50
40
40
80
80
120
120
160
160
200
200
240
240
280
280
320
320Shoulder height (cm)Foot length (cm)
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
y
^
=
6
x
−
20
y
^
=6x−20y, with, hat, on top, equals, 6, x, minus, 20
(Choice B)
B
y
^
=
6
x
+
20
y
^
=6x+20y, with, hat, on top, equals, 6, x, plus, 20
(Choice C)
C
y
^
=
3
2
x
−
20
y
^
=
2
3
x−
Answers
The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:
y = 5.71x - 5.65.
How to obtain the linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are defined as follows:
m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the numeric value of y when x = 0.From the image given at the end of the answer, two points of the line are given as follows:
(15, 80) and (50, 280).
Given two points, the slope is obtained as the change in y divided by the change in x, hence:
m = (280 - 80)/(50 - 15) = 5.71.
Hence:
y = 5.71x + b.
When x = 15, y = 80, hence the intercept b is obtained as follows:
80 = 5.71(15) + b
b = 80 - 5.71(15)
b = -5.65.
Hence the equation is given as follows:
y = 5.71x - 5.65.
Missing InformationThe graph is given by the image shown at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
How many cubes are there
Answers
Answer:
there are 9 cubes
make me brainliest if u r satisfied
Answer:
there are 9 cubes
:) ㅡㅡㅡㅡㅡ
The radius of a circle is 1 mile. What is the circle's circumference? r=1 mi Use 3.14 forn.
Answers
Answer:6.28 miles
Step-by-step explanation:
The circumference of a circle = 2*pi*radius
= 2*1 mile* 3.14
= 6.28 miles
Which is the correct formula to find the area of triangle AED?
area of a triangle = 1/2 • CD • AE
area of a triangle = 1/2 • AE • DE
area of a triangle = 1/2 • CE • AE
area of a triangle AED = AE • AE
Please help! I will reward brainliest for the right answer ^^
Answers
Answer:
area of ΔAED = 1/2 · AE · DE
Step-by-step explanation:
Area of a triangle = 1/2 x height x base
From inspection of the diagram for triangle AED:
height = AEbase = DETherefore, area of ΔAED = 1/2 · AE · DE
An armchair was purchased for a cost price of $380 and marked up to a retail price. It was then
discounted by 10% to a sale price of $427.50 . What is the percentage mark-up from the cost price
to the retail price?
Answers
Answer:
17.764% up
Step-by-step explanation:
i hope this helped
The required percentage markup from the cost price to the retail price is 1.25%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.
Now, the cost of the armchair is given $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%
Thus, the required percentage markup from the cost price to the retail price is 1.25%.
Learn more about percentages here:
brainly.com/question/13450942
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Jake wants the profile of a hotel he is planning to be a right triangle with the dimensions shown. The city prohibits structures over 100 ft at the location where he would like to build. Can the hotel be located there? Explain
Answers
The height of the building is 96 ft., hence the building can be located there.
Sine ruleSine rule is used to show the relationship between the sides and angles of a triangle it is given by:
a / sin(A) = b / sin(B) = c / sin(C)
A, B, C are the angles and a, b, c are the sides opposite the respective angles.
Let A represent the angle opposite side 120 ft., hence:
120/sin(A) = 200/sin(90)
A = 36.9°
Let h represent the height of the building, hence:
h / sin(36.9) = 160 / sin(90)
h = 96 feet
The height of the building is 96 ft., hence the building can be located there.
Find out more on Sine rule at:https://brainly.com/question/4372174
HELP!! DUE TODAY!!!! 10 Points.
Answers
Answer:
Tyra can make 54 batches of cookies
sorry if I'm wrong
Step-by-step explanation:
CAN SOMEONE PLEASE HELP
Answers
i think the right answer is 4
can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo
Answers
Answer:
280.8
Step-by-step explanation:
use the pythagorean theorem to find x
225^2 + 168^2 = x^2
[tex]\sqrt{168^{2} + 225^{2} }[/tex] = x
280.8
Howard slept from 9 PM until 6 AM the next morning how many minutes did he sleep
Answers
Answer:
540min
Step-by-step explanation:
he slept for 9 houres so convert that to minutes.
Convert the 9 hours into minutes .
x: -2, 0, 2, 4, 6
y: 3, 3, 4, 4, 5
Function or Not a function?
Answers
if the numbers are different it’s okay to have a different output but, if the same number has more than one output it is not a a function.
What would the answer be, also how do I work it out ?
Answers
Answer:
The distance is √58
or 7.61577...
Step-by-step explanation:
If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.
It would be 7 units tall and 3 units wide.
7²+3²=49+9=58
The distance is √58
I need help please , help me :(((
Answers
101101110101010101100101010101010101010101010101010101010101010101-01010101010101010101011001010101010110
nah
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
Answers
Answer:
x = 90Step-by-step explanation:
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
(1/2)x = 45
x = 45 * 2
x = 90
--------------------
check
90 : 2 = 45
the answer is good
Your answer is [tex}x = 45 * 2x = 90[/tex]
x = 45 * 2
x = 90
90 : 2 = 45
Hope this helps
Sorry if the thing says alot of "tex". Trying something new
What is the ratio for sinM (Look at the picture)
A) 7/24
B) 7/25
C) 25/24
D) 24/25
Answers
Answer:
B) 7/25
Step-by-step explanation:
sin M = opposite/hypotenuse = 7/25
After lunch.my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?
Answers
Answer:
-0.875 that is the answer
Step-by-step explanation:
(1/8)-1=-0.875 that's the answer
How many solutions to this
Answers
Answer:
one-solution
Step-by-step explanation:
1-12-3b=-3b+15
-11-3b=-3b+15
-3b=-3b+15+11
3b-3b=26
b=26