Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
What does a geometric sequence contain
The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.
Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'
Common ratio = 4/2 = 8/4 = 2
Hence a geometric sequence is characterized by its common ratio
Explain the difference between (-5)squared and -5squared.
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Find the derivative of y=(3x+5)^7 using the chain rule. Give your answer fully factored.
1. What is the value of the expression ƒ2 + 8 if ƒ = 7?
Answer:
f=8/5
Step-by-step explanation:
f*2+=f7
2f+8=f*7
2f+8=7f
2f=7f-8
2f-7f=-8
-5f=-8
The product of -13 and K
Answer:
- 13 × k = -13k
good luck, hope this helps :)
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows:
Money market 20%
Short-term bond 15%
Intermediate-term bond 11%
Long-term bond 5%
High-risk stock 18%
Moderate-risk stock 24%
Balanced fund 7%
A customer who owns shares in just one fund is to be selected at random.
Required:
a. What is the probability that the selected individual owns shares in the balanced fund?
b. What is the probability that the individual owns shares in a bond fund?
c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
a. 7% probability that the selected individual owns shares in the balanced fund.
b. 31% probability that the individual owns shares in a bond fund.
c. 58% probability that the selected individual does not own shares in a stock fund
Step-by-step explanation:
a. What is the probability that the selected individual owns shares in the balanced fund?
7% of the individuals owns shares in the balanced fund, so 7% probability that the selected individual owns shares in the balanced fund.
b. What is the probability that the individual owns shares in a bond fund?
Bond funds (short, intermediate, and long-term):
15%(short-term) + 11%(intermediate-term) + 5%(long-term)
15%+11%+5% = 31%
31% probability that the individual owns shares in a bond fund.
c. What is the probability that the selected individual does not own shares in a stock fund?
Anything but moderate and high risk stock%.
The sum of all probabilities is 100%.
18% + 24% = 42% own stock fund.
100 - 42 = 58%
58% probability that the selected individual does not own shares in a stock fund
What is the are a square with a side length of 3x + 4.
W You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. You also save $40 per month in a safe at home. Write a function C(t) =b(t) +h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. c(t) = Find and interpret C(5). C(5) = $
Answer:
C(5)= $13,172.05
Step-by-step explanation:
To calculate C(t), we need to divide the formula into two equations:
C(t) =b(t) +h(t)
b(t)= PV*(1+i)^n
n= number of months
i= monthly interest rate
PV= initial investment
h(t)= montlhy deposit* number of months
Now, for C(5); I assume its 5 years:
i= 0.036/12= 0.003
n= 5*12= 60
C(5)= 9,000*(1.003^60) + 40*60
C(5)= $13,172.05
Theodore hired a roofer for some work. on final bill he was charged a total of 642$ .425$ was listed for parts and rest for labor . if the hourly rate was 31$ how many hours of labor was needed ?
Answer:
7 hours
So you so 642-425= 217, then you do 217/31= 7
your answer is 7
The geometric mean of a number and four times the number is 22. What is the number?
The number, such that the geometric mean of the number and four times the number is 22, will be 11.
What is the Arithmetic and Geometric mean of two numbers a and b ?The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2 and their geometric mean is equal to [tex]\sqrt{ab}[/tex]
We have the geometric mean of a number and four times the number is 22.
According to the question, we can write -
G.M. = [tex]\sqrt{ab}[/tex]
Assume that the number is [x]. Then the second number will be [4x]. So -
22 = √4x²
22 = √(2x)²
2x = 22
x = 11
Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.
To solve more questions on Arithmetic and Geometric averages, visit the link below -
brainly.com/question/13817006
#SPJ2
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest?
2 years
5 years
50 years
3.125
Answer this ASAP it’s due tomorrow again
Answer:
76 cm cubed
Step-by-step explanation:
2 x 2 x 4 = 16 cm cubed
3 x 4 x 5 = 60 cm cubed
(a) The 10 members of the swim team completed the following numbers of laps at today's practice:
77, 79, 80, 82, 84, 85, 86, 87, 90, 91.
Which measure should be used to summarize the data?
Mean?
Median?
Mode?
Answer:
mean
Step-by-step explanation:
The method to summarize the data will be mean
The mean of the laps of swim team is 84.1 laps
What is Mean?
The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented by the set A
Let the mean of the data set be M
The value of set A = { 77 , 79 , 80 , 82 , 84 , 85 , 86 , 87 , 90 , 91 }
The total number of data elements in the set = 10
Now , since all the data elements are distributed normally and does have a central point
So , it follows normal distribution
Therefore , the mean of the data will be
Mean M = Sum of Values / Number of Values
Mean = ( 77 + 79 + 80 + 82 + 84 + 85 + 86 + 87 + 90 + 91 ) / 10
Mean = 841 / 10
Mean M = 84.1 laps
Therefore , the value of M is 84.1
Hence , The method to summarize the data will be mean
The mean of the laps of swim team is 84.1 laps
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ2
What is 98x34x56÷5
Plz help me fast
Thanks in advance
Answer:
37318.4
Step-by-step explanation:
hope this helps
how do I solve this puzzle?
Answer: use division
Step-by-step explanation:
solve for x
35+.8x=43-7x
Answer:
x = 1.02564
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564The data in the tables below were collected from first year students at a community college. The variable is "number of credit cards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. [tex]$P(x) \geq 0$[/tex]
2. [tex]$\sum_z P(x) = 1$[/tex]
Now consider,
[tex]$\sum_z P(x) = 1$[/tex]
⇒ [tex]$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$[/tex]
⇒ [tex]$0.61+T+0.14+0.01+0.01+0.03=1$[/tex]
⇒ [tex]$0.8+T=1$[/tex]
⇒ [tex]$T=1-0.8$[/tex]
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
PLS HELP ME!
A ladder 25ft long leans against a vertical wall with it's foot on level ground 7ft from the base of the wall. If the foot is pulled away from the wall at the rate 2ft/s , Express the distance (yft)of the top of the ladder above the ground as a function the time t second in moving
Answer:
what is this language
Step-by-step explanation:
Answer:
hope it will help you.....
What is 50% of 20?.........................
Answer:
10
Step-by-step explanation:
50%, or 1/2 of 20 is 10.
Answer:
10!
Step-by-step explanation:
50% is half, so half of 20 is 10!
Estimate 307‾‾‾‾√ between two consecutive whole numbers. Enter the numbers in the boxes below.
Answer:
17, 18
Step-by-step explanation:
closest perfect square that is lower than 307 is 289
closest perfect square that is greater than 307 is 324
[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]
[tex]17<\sqrt{307} <18[/tex]
In a bowling class, the students are organized into teams. The number of students in the class is used to calculate how many teams will be formed.
Answer:
Error
Step-by-step explanation:
Unfinished question
Find the missing angle
Answer:
x=21
Step-by-step explanation:
69+90= 159
180-159=21
Answer and explain pleaseeeee.
Answer:
Answer : - diagonals of rhombus are perpendicular. According to the property of rhombus. Diagonals of rhombus are perpendicular. In this question the triangle NQM is a right angled triangle and it is clear that it is right angled triangle because he mentioned angle MQN = 90°
Select the equation that has m = 34.87 as a solution.
A
m x 21 = 731.27
B
9m
323.83
m + 14 =
488.18
68 + m = 102.87
Answer:
look up
Step-by-step explanation:
2c=8 and after you have to do subtraction to check
Answer:
Whats the question?
Step-by-step explanation:
The probability of an economic decline in the year 2020 is 0.23. There is a probability of 0.64 that we will elect a republican president in the year 2020. If we elect a republican president, there is a 0.35 probability of an economic decline. Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president. Use this information to answer the following four questions:
1 Are R and D independent events?
2 What is the probability of electing a Republican president and an economic decline in 2020?
3 If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
4 What is the probability of economic decline or a Republican president elected in 2020 or both?
Answer:
1) D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646
Step-by-step explanation:
Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president
Given that;
P(D) = 0.23
P(R) = 0.64
Conditional P(D | R) = 0.35
1) Are R and D independent events?
we know that two events A & B are independent events if; P(B | A) = P(B)
here, P(D | R) = 0.35 and P(D) = 0.23
so; P(D | R) ≠ P(D)
Therefore D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020;
we know that;
P(D | R) = P(D ∩ R) / P(R)
we substitute
0.35 = P(D ∩ R) / 0.64
P(D ∩ R) = 0.35 × 0.64
P(D ∩ R) = 0.224
Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
P(R | D) = P(D ∩ R) / P(D)
we substitute
P(R | D) = 0.224 / 0.23
P(R | D) = 0.9739
Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both
P(D ∪ R) = P(D) + P(R) - P(D ∩ R)
we subtitute
P(D ∪ R) = 0.23 + 0.64 - 0.224
P(D ∪ R) = 0.646
Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646
Find the SA if this Square Pyramid:
(Don’t forget all 4 sides of the square are the same length which also means all four lateral triangles will be the same area)
Step-by-step explanation:
Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²
241÷9 cevabı nedir ????
Answer:
26.7777778 or 26.78 rounded
Step-by-step explanation:
f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Given:
The functions are
[tex]f(x)=-5x^2+4x-9[/tex]
[tex]g(x)=8x^2-3x-4[/tex]
To find:
The value of (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the given functions, we get
[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]
On combining like terms, we get
[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]
[tex](f+g)(x)=3x^2+x-13[/tex]
Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].