Answers
The value of the given function will be written as:-
a) f(1)= 12
b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given function is :-
[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]
So the value of the given function f(1) will be:-
[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]
The value of the function f(n-1) will be:-
[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
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Related Questions
Write and simplify an expression that represents the sum of the perimeters of the square and the triangle.
A square with side length 6x. A triangle with side lengths 3x, 3x, and x - 2.
Answers
Answer:
To solve this question, you simply apply algebraic formulas to geometric relationships.
The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.
Simply add the length of the sides up.
[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter
Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.
3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2
19x + 0 (-2-2 + 3+1 cancel out)
The perimeter of this pentagon is 19x.
Step-by-step explanation:
If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.
Answers
jt- 22x+9..
It clearly says JT=22X+9
try 22+9..?
Sales $100 10 12 16 18 22 24 Temperature °C (a) How would you characterize the relationship between the money spent on calling fans to the temperature? Explain. (b) The function y=20x+0 is used to model this situation. What is the predicted amount of sales if the temperature is 21 degrees Celsius? Show your work. (c) What does the number 0 in the function mean in the context of this situation? Answers:
Answers
#1
As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.
#2
y=20x+0Put temperature as 21(x)
y=20(21)y=420#3
0 is the y intercept or the initial amount of sales
It's denoting to the fact that there were initially 0 boxes
If it takes 15 minutes to dry your hair with a 1.200 kW hair drier, how much energy is used in drying your hair?
Answers
The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.
What is power?The quantity of energy moved or transformed per unit of time is referred to as power.
Formula: Power = Energy / Time
Units: kW = kWh / hour
The power of electric equipment is given by the formula,
P = E/t
where E is the energy consumed in kWh and t is the time in hours.
Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,
1.200 kW = E / 0.25
0.3 kWh = E
Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.
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Use the inverse matrix to solve this system of equations:
Answers
An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.
What other kinds of matrixes are there?In mathematics you have the following types of matrices:
Column matrixNull MatrixSquare MatrixRow MatrixLower Triangular Matrix etc.It is to be noted that the information required to solve the equation is incomplete hence the general answer.
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Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution. x = 2; extraneous x = 2; not extraneous x = 30; extraneous x = 30; not extraneous
Answers
The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution
How to find the solution of an equation?The solution of the equation can be found as follows;
√x+2 + 4 = 6
subtract 4 from both sides
√x+2 + 4 - 4 = 6 - 4
√x+2 = 2
square both sides
(√x+2)² = 2²
x + 2 = 4
x= 4 - 2
x = 2
Therefore the solution is x = 2 and it is not a extraneous solution.
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what is 0.000285 expressed in scientific notation
Answers
Answer: the answer is 2.85 x 10^-4
Step-by-step explanation:
or u can just look up Mathway and that will give you the answer and a much quicker way too https
How many solutions does this equation have?
–9d + 4 = –4 − 10d
Answers
Answer:
One Solution
Explanation:
–9d + 4 = –4 − 10dchange sides
–9d + 10d = -4 - 4one solution ↓
d = -8Answer:
One solution
Step-by-step explanation:
When solving for d, you get d = - 8
Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?
Answers
Answer:
9
Step-by-step explanation:
x - 8 + 9 + 12 - 4 = 18
x = 9
22-12=10
10-9=1
1+8=9
The answer is 9 because of inverse
1 AB is tangent to circle O at B. The diagram is not drawn to scale. If AB=12 nd AO=15, what is the length of the radius (r)
Answers
Answer:
r = 9 units
Step-by-step explanation:
since AB is a tangent to the circle at B , then ∠ ABO = 90°
so Δ ABO is a right triangle
using Pythagoras' identity in the right triangle
OB² + AB² = AO² , that is
r² + 12² = 15²
r² + 144 = 225 ( subtract 144 from both sides )
r² = 81 ( take square root of both sides )
r = [tex]\sqrt{81}[/tex] = 9
can i have help with this please if you do it you're a lifesaver
Answers
Answer:
1, 2, 5, and 10
Step-by-step explanation:
Factors of 30 :
1, 2, 3, 5, 6, 10, 15, 30
Factors of 20 :
1, 2, 4, 5, 10, 20
what is a venn diagram?a venn diagram is an illustration that uses circles to show the relationship between things or group of things. Circles that overlap share the same traits (in this case numbers) and those that do not overlap dont share the same traits.What numbers go in the shaded overlap?
1, 2, 5, and 10
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat? $ $
Answers
Answer:
$102
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?
1. Convert the discount percentage to a decimal:
15/100 = 0.15
2. Multiply the original price by the decimal:
120*0.15 = $18
This is the discount they got.
3. Now, subtract the discounted value from the original price:
120 - 18 = $102
This means that they paid $102 for the coat.
Hope this helps!
Answer:
$102
Step-by-step explanation:
15% of 120
= 15/100×120
0.15×120=$18
therefore, 15% of 120 equal 18
discount= $18
Amount she paid= 120-18= $102
Please help me I will give brainliest I need help
Which data set is represented by the modified box plot?
Box and whisker plot on a number line from 90 to 160 in increments of 5. The whisker ranges from 114 to 152. The box ranges from 120 to 139 with the vertical bar inside the box at 128. One dot mark above ninety-one.
134, 142, 136, 128, 126, 152, 91, 114, 120, 139, 128
134, 142, 136, 128, 126, 168, 91, 114, 120, 139, 128
134, 142, 136, 120, 120, 152, 91, 114, 120, 139, 134
134, 142, 136, 128, 126, 152, 102, 114, 120, 139, 128
Answers
Answer:
I think it's B
Step-by-step explanation:
:)
Can someone PLEASE help with these 10th grade geometry angle problems? I have no idea how to solve these and I'm desperate. My teacher won't get back to me and I really need this done. will reward brainly and 5 stars + thanks. You don't have to answer both if you don't want to. either would help tremendously.
Answers
Given
m∠MPN = 35°mLP = 130°To find
The value of mMNWe can see MN is intercepted by the angle MPN.
Inscribed angle is half the measure of intercepted arc
m∠MPN = 1/2mMN ⇒ mMN = 2 × m∠MPN = 2 × 35° = 70°The answer is mMN = 70°
Question 2Given
m∠AOB = 40°mED = 60°To find
m∠CODSee the solution with reasons for each line
m∠COD = m∠EOB ⇔ vertical angles are congruentmBD = 180° ⇔ BD is diameter and cuts the circle in halfm∠EOB = mBD - mED ⇔ Angle addition m∠EOB = 180° - 60° = 120° ⇔ SubstitutionSo the answer is m∠COD = 120°
How would I make a dot plot with these requirements?:
1. It has at least 10 values.
2. It has at least 3 values that are different.
3. It has a mean and median of 12.
Answers
Answer:
2
Step-by-step explanation:
find the area of this triangle. round to the nearest tenth. 17 m, 15 m, and 35 degrees
Answers
area of triangle
= 1/2 b*h
=1/2 17*15
=8.5*15
=127.5m²
If the volume of sphere is 4574.9 cubic inches is the radius?
Answers
Answer:
10.3
Step-by-step explanation:
Volume of a sphere
V = 4/3 pi r^3
4574.9 = 4/3 (3.14) r^3
r= 10.3 in
Please help!! Giving Brainleist!
Answers
Answer: 30
Step-by-step explanation:
Bc all the numbers are near 30
CAN I PLEASE HAVE BRAINLIEST ✨
Help pls
In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75,
respectively. Find the area of rectangle D.
Answers
If the areas of rectangles A, B, and C are 11, 33, and 75, respectively. Then the area of the rectangle D will be 25 square units.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75, respectively.
Then the area of the rectangle D will be
Let a be the length and b be the width of the rectangle D. Then we have
The ratio of the area of the rectangles will be
[tex]\rm \dfrac{A_A}{A_B} = \dfrac{A_D}{A_C}\\\\\\A_D = \dfrac{A_A \times A_C}{A_B}\\\\\\A_D = \dfrac{11 \times 75}{33}\\\\\\A_D = 25[/tex]
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Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of point B.
Question 6 options:
(−3, 7)
(0, 5.5)
(3, 4)
(0, 5)
Answers
The location of point B is (0,5.5).
What is section formula?The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.
Given: A(1,5), M(-1,6)
If M is the mid point of line AB, then
let the coordinates of B(a,b),
Using section formula,
a= 1*1+1*(-1)/(1+1)
a= 0/2
a=0
b= 1*6+1*5/2
b=11/2
b=5.5
Hence, the coordinated of B(0,5.5).
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Answer:
B. (0,5.5)
B's location is (0,5.5)
I need help please I have a picture of the problem down below.
Answers
Answer:
Step 1: Create a net for the triangular prism by "cutting" two edges of the triangular faces and unfolding.
Step 2: Find the area of each triangle. Find the area of the rectangle.
Step 3: Add all areas from step 2 together. This is the surface area.
Step-by-step explanation:
1 A jewelry salesperson eams 55% commission on all sales. Today he sold $7,770 in jewelry. What is his total commission earned? The total commission the salesperson earned is $ (Round to the nearest cent as needed.)
Answers
Answer:
$4,273.50
Step-by-step explanation:
Multiplying the total sale amount by 55% commission :
7,770 x 55%7,770 x 0.557,770 x 11/20388.50 x 11$4,273.50two squares have a total area of 208cm square and sum of their perimeter is80cm what are the length of sides of square
Answers
The length of the sides of the square are 8 centimetres and 12 centimetres respectively
How to finds area of a square?area = l²
where
l = side lengthTherefore,
x² + y² = 208
How to finds perimeter of a square?perimeter = 4l
4x + 4y = 80 cm
x + y = 20
x = 20 - y
(20 - y)² + y² = 208
y² - 40y + 400 + y² = 208
2y² - 40y + 192
y² - 20y + 96
(y - 12)(y - 8)
Therefore, y = 12 and y = 8
when y = 8
x + 8 = 20
x = 12
when y = 12
x + 12 = 20
x = 8
Therefore, the length of the sides of the square are 12 cm and 8 cm.
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help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
*These Should be the correct answers*
1.C
2.D
Step-by-step explanation:
Jacqueline is cleaning the barn and needs to give her horse freshwater.the water trough holds 70 gallons of water the hose she has to use as a flow rate of 6 gallons per minute. how long will it take to fill the water trough?
Answers
Then 70 gallons will flow in ;
70 * 1/6. = 11.7 minutes
It will takes 11.7 minutes to fill the water trough
Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .
Answers
The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.
What is the survey method?To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.
In this case, we have that a survey is a data collection of questions used to gather information about population.
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2. In circle 0, points A and B lie on the circle such that OA = 2x + 9 and OB = 27 – x. Which of the following
represents the length of the radius of circle O?
(1) 6
(3) 21
(2) 18
(4) 42
Answers
The volume of this rectangular prism is 122,264 cubic millimeters. What is the value of z? (will mark brainliest)
Answers
Answer:
z = 58 mm
Step-by-step explanation:
Volume of the rectangular prism :
Volume = length x breadth x heightSolving :
122,264 = 62 x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mmAnswer:
z = 58 mm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 122,264 mm³l = 62 mmw = z mmh = 34 mmSubstitute the values above and solve for z:
122,264 = 62 × z × 34
122,264 = 2108z
122,264/2108 = 2108z/2108
58 = z
Final answer: 58 mm
Hope this helps!
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
5 in
6 in
15 in
9 in
3 in
а
b
558 sq in
300 sq in
354 sq in
327 sq in
Answers
Suppose that in a random sample of 240 smartphone users, 160 used an iPhone. Conduct a hypothesis test at significance level 0.02 to test the claim that more than 58% of smartphone users use an iPhone.
State the null hypothesis, the alternative hypothesis, the test statistic, the (P-value or traditional method), and formulate your conclusion.
Null hypothesis: ____________________
Alternative hypothesis: __________________
Test Statistic:
p-value value: ________
Conclusion: __________________________________
Answers
Answer:
you will get the correct answer
Step-by-step explanation:
I need points ASAP!!