[tex]8 \times {2}^{n + 2} = 32[/tex]
What is the value of n
Step-by-step explanation:
2³×2^n+2=32
2^3+n+2=2⁵
n+5=5
n=0
[tex]_____________________________________[/tex]
[tex]\sf\huge\underline\red{ANSWER:}[/tex]
[tex]\tt n = 0[/tex]
[tex]\sf\huge\underline\red{SOLUTION:}[/tex]
[tex]\tt8 \times {2}^{n + 2} = 32 \\ = \tt {2}^{3} \times {2}^{n + 2} = 32 \\ = \tt {2}^{n + 5} = 32 \\ = \tt {2}^{n + 5} = {2}^{5} \\ = \tt n + 5 = 5 \\ = \tt n = 5 - 5 \\ = \large\boxed{\tt{\green{n = 0}}}[/tex]
[tex]_____________________________________[/tex]
[tex]\large\boxed{\sf{\green{CarryOnLearning}}}[/tex]
[tex]\large\boxed{\sf{\red{MathDemonQueenシ︎✌︎}}}[/tex]
[tex]\large\boxed{\sf{\green{ItsMoreFunInThePhilippines✌︎}}}[/tex]
A study of 133 investmen managers revealed the following make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months for equities was 11.2%.
21% selected health care as the sector most likely to lead the market in the next 12 months.
When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers’ average response was 2.5 years.
a. Cite two descriptive statistics.
b. Make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months.
c. Make an inference about the length of time it will take for technology and telecom stocks to resume sustainable growth.
Answer:
(A.)
21% selected health care as the sector most likely to lead the market in the next 12 months.
47% of managers classified themselves as bullish or very bullish on the stock market.
(B.)
The average return expected on equities over the next 12 months for equities was 11.2% for the population of investment managers.
(C.)
The length of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.
Step-by-step explanation:
Descriptive statistics gives a quantitative evaluation of particular scenario or information.
Here, the percentage of people who selected health care to lead the market in the next 12 months and the the percentage of managers who classified themselves as bullish or very bullish are examples of descriptive statistics.
The inference Given in the problem is about all investment managers, which is the population mean.
And the lengtb of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.
#1
You and your family need to take a taxi to get around town on
your vacation. The taxi service charges $7.50 for the initial
pickup of you and your family and $0.25 per mile. Write an
equation to represent this situation. Then, calculate how much
it would cost if you took the taxi for a 12 mile trip.
Equations
Solutions
y = 0.25x + 7.75
А A
$10.50
3
y = 7.50x + 0.25
B
$18.00
y = 0.25x + 7.50
$90.25
5
Answer:
Equation: y = 0.25x + 7.50
Cost: $10.50
Step-by-step explanation:
Let x be the number of miles and y be the total cost in $.
y = 0.25x + 7.50
If we want to find the total cost of a 12 mi trip, we plug in x=12.
y = 0.25 * 12 + 7.50
y = 3 + 7.50
y=10.50
What does X equal ????
graph the function.
for the function whose graph is shown below, which is the correct formula for the function?
A. y = -x + 1
B. y = x - 1
C. y = -x - 1
D. y = x + 1
Answer:
y =x+1
Step-by-step explanation:
The y intercept is 1
The slope is positive
We go up 1 and to the right 1
y = mx+b where m is the slope and b is the y intercept
y = 1x+1
y =x+1
Help with this please
Answer:
I would say 4 to 6 since everything else is decreasing
Step-by-step explanation:
HURRYY!!!
which exponential function is represented by the graph
Answer:
Apr 16, 2018 — p>Which exponential function is represented by the graph?</p><span>f(x) = 2(1/2)^x </span><span>f(x) = 1/2(2)^x </span><span>f(x) = 1/2
Step-by-step explanation:
6) Find the difference of (4x - 5) and (6x + 8)
Answer:
[tex]-2x- 13[/tex]
Step-by-step explanation:
Hi there!
[tex](4x - 5)-(6x + 8)[/tex]
Open up the parentheses
[tex]4x - 5-6x - 8[/tex]
Combine like terms
[tex]4x -6x- 5 - 8\\-2x- 13[/tex]
I hope this helps!
Answer:
- 2 - 13
Step-by-step explanation:
( 4 x - 5 ) - ( 6 x + 8 )
= 4 x - 5 - 6 x + 8
Arranging like terms together
= 4 x - 6 x - 5 - 8
= - 2 x - 13
Given the vectors u= <2, 1> and v= <5, 4>, determine the components of a vector represented by 2u - 3v
A.) <14, 15>
B.) <-6, -9>
C.) <-11, -10>
D.) <19, 14>
Answer:
C.) <-11, -10>
Step-by-step explanation:
Let's define how to work with vectors.
For two vectors:
V = <a, b>
W = <c, d>
The product of a scalar k and a vector is given by:
k*V = k*<a, b> = <k*a, k*b>
And the sum (or difference) of two vectors is given by:
V ± W = <a, b> ± <c, d> = <a ± c, b ± d>
Now that we know this, we can solve the problem.
Here we have the vectors:
u = <2, 1>
v = <5, 4>
then:
2u - 3*v = 2*<2, 1> - 3*<5, 4>
= <2*2, 2*1> - <3*5, 3*4>
= <4, 2> - <15, 12>
= <4 - 15, 2 - 12>
= < -11, -10>
Then the correct option is C.
For an outdoor concert by the city orchestra, concert organizers estimate that 19,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 4000 people will
attend. On the day of the concert, meteorologists predict a 60% chance of rain. Determine the expected number of people who will attend this concert.
It is expected that people will attend the concert.
Answer:
Hope it helps you stay safe<3A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the
discount
9514 1404 393
Answer:
$6190.48
Step-by-step explanation:
The price is now 1 -16% = 84% of the original price (p).
$5200 = 0.84p
p = $5200/0.84 = $6190.48
The price before the discount was $6190.48.
What's the area of the green face?
Answer:
242
Step-by-step explanation:
14 * 7 = 98
18 * 8 = 144
98 +144 = 242
HELP!! FAST!!
Which represents a recursion function?
A. Xn = f(Xn)
B. Xn = f(X0)
C. Xn = f(a1)
D. Xn = f(Xn-1)
(Picture added for more info)
Answer: Choice D
[tex]x_n = f(x_{n-1})[/tex]
This basically says "the nth term is found by computing math, aka evaluating some function, based on the (n-1)th term".
As an example, we could have a function that simply squares the input
Let's say we started at 5. It squares to 25 which in turns squares to 625, and so on. Each new term is based on the old term. Namely, we squared the old n-1 term to get the new nth term.
Which of the following coordinates exists on the line y = 2x + 4?
A. (2, 4)
B. (1, 5)
C. (-3, -2)
D. (-1, 3)
what is the mode for the data set
x
x x x
x x x x x x
_______ __
5 6 7 8 9 10 options 7.8
5
8
9
Answer:
5
Step-by-step explanation:
The mode of a data set is the number that appears most
If 137 is subtracted from three times of square of a natural number the result is 55. Find the number
Answer:
8
Step-by-step explanation:
Let the unknown number be x.
Therefore, we can write the question as a mathematical statement and this will be:
3x^2 - 137 = 55. (Note: ^2 = to the power of 2 or "squared"
(In the question, we can break it up as being three times of a square of a natural number = (3x^2) and 137 is subtracted from = (- 137) and the result is 55 = (= 55). Therefore, this gives 3x^2 - 137 = 55
Then, we add 137 first to get rid of the (-137)
Therefore:
3x^2 = 192
Then, we divide 3 from both sides to get rid of the (3) in (3x^2).
Therefore,
x^2 = 64.
So, we square root 64. This gives
x = 8.
Therefore, the answer is 8.
Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft
Answer:
301.6 ft³
Step-by-step explanation:
Volume of the cone = ⅓*πr²h
Where,
radius (r) = 6 ft
height (h) = √(10² - 6²) => Pythagorean theorem
h = √(100 - 36)
h = √64
h = 8 ft
Plug in the values
Volume = ⅓*π*6²*8
Volume = 301.6 ft³ (nearest tenth)
find the 11th term of the series
8,14,20,26.......
Answer:
a11 = 8+(11-1)6
a11 = 8+54
a11=68
hopefully this is correct
Step-by-step explanation:
Find a counter example for each of the following conditional statements. There are multiple correct answers. This question will be graded manually.
If a number ends in five, then it will divide evenly by two.
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Answer:
5
Step-by-step explanation:
The number 5 is a counterexample, as is any number ending in 5.
5 ÷ 2 = 2 remainder 1
The non-zero remainder indicates 5 is not divisible evenly by two.
x +4
5) 4
4
please help!
Center(1/2+1/3) Radius=2/3
Answer:
[tex]{ \bf{ {x}^{2} + {y}^{2} - \frac{1}{2} x - \frac{1}{3} y}} - \frac{1}{12} = 0[/tex]
2 divided by 0.75 please help
Answer:
8/3
Step-by-step explanation:
2/ (3/4) = 2*4/3 =8/3
Miguel borrowed $1,800 for 2 years and ended up paying $180 in simple interest what was the interest rate
Answer: 103.534%
I used a calculator and everything
Resuelve el siguiente problema aplicado al sistema de ecuaciones, utilizando cualquiera de los tres métodos aprendidos: Sergio tiene $ 1.950 en monedas de $ 100 y de $ 50. En total tiene 24 monedas. Determina cuántas monedas son de $ 100 y cuántas de $ 50.
Answer:
Tiene 9 monedas de $50 y 15 monedas de $100.
Step-by-step explanation:
Sergio tiene $1950 en monedas de $100 y $50, entonces la primera ecuación es la siguiente:
[tex] 100x + 50y = 1950 [/tex] (1)
Ahora, en total tiene 24 monedas:
[tex] x + y = 24 [/tex] (2)
De la ecuación (2) tenemos:
[tex] x = 24 - y [/tex] (3)
Ahora introduciendo la ecuación (3) en la ecuación (1) y resolviendo para "y" nos queda:
[tex] 100(24 - y) + 50 y = 1950 [/tex]
[tex] 2400 - 100y + 50y = 1950 [/tex]
[tex] y = \frac{450}{50} = 9 [/tex]
Con la ecuación (3) podemos hallar el valor de "x":
[tex] x = 24 - 9 = 15 [/tex]
Por lo tanto, tiene 9 monedas de $50 y 15 monedas de $100.
Espero que te sea de utilidad!
Jill calls a plumber to her house to fix the leaking faucets . The plumber charges a one-time fee of $50 plus an additional $35 per hour of labor. What are the independent and dependent variables
Answer:
independent=$50
dependent=$35X
Step-by-step explanation:
50 is the independent variable because it doesn't change.
35X is the dependent variable because it does change.
In this scenario, the independent variable is the number of hours of labor and dependent variable is the total cost.
The independent variable is the number of hours. It is the variable that we can control or change.
The dependent variable is the total cost charged by the plumber.
It depends on the number of hours of labor and is determined by the plumber's fee structure, which includes a one-time fee of $50 plus $35 per hour of labor.
The total cost is calculated based on the number of hours of labor, making it the dependent variable in this situation.
Learn more about Independent variable here:
https://brainly.com/question/32711473
#SPJ4
I need help I’ll give u brainlest
Answer:
1000
Step-by-step explanation:
Volume = 10 * 10 * 10 = 1000
Answer:
[tex]Volume = 1000[/tex]
Step-by-step explanation:
Formula to find volume of cube:
[tex]Volume=a^{3}[/tex]
[tex]Volume = 10^{3}[/tex]
[tex]Volume = 10*10*10[/tex]
[tex]Volume = 1,000[/tex]
hope this helps.....
Steven earns extra money babysitting. He charges $40.50 for 6 hours and $54.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
6.75 * x =y
Step-by-step explanation:
In this question, for is a keyword here we can use to represent division. If he charges $40.50 for 6 hours, this means we can represent this as [tex]\frac{40.50dollars}{6 hours}[/tex] to calculate the amount babysitting costs for an hour. Our answer is then [tex]\frac{6.75 dollars}{1 hour}[/tex]. A similar division of $54.00 for 8 hours results in a calculation of [tex]\frac{54.00 dollars}{8 hours} = \frac{6.75 dollars}{1hour}[/tex]. This means that for each hour, he charges 6.75 dollars, the same amount of money each hour.
Given this information, we can say that an equation to represent this relationship would be that, to calculate the total money Steven earns, we can multiply 6.75 dollars by the amount of hours he works, as he earns 6.75 dollars for each hour, making our equation 6.75 * x =y, with y representing the total amount he charges. If your teacher would
238/35 mixed number simpified
Answer:
6 4/5
Step-by-step explanation:
Find the Greatest Common Factor (GCF) of 238 and 35, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 7,
=238÷7/35÷7=34/5
Converting to a mixed number using long division with remainders for 34 ÷ 5.
34÷5=6R4
Therefore:
34/5=6 4/5
PLS HELP ME ILL GIVE BRAINLIEST FOR THE 2 QUESTIONSSS
Answer:
can you turn up your brightness i can barely see it
Step-by-step explanation:
Evaluate ∬_D▒〖42y^2-12x dA〗 where D={(x,y) 0≤x≤4 ,(x-2)2 ≤y≤6