Answer:
7, 10, 13, 16 and 34
Step-by-step explanation:
[tex]let \: t_{n} = 3n + 4 \\ when \: n = 1 \\ t_{1} = 3.1 + 4 = 3 + 4 = 7 \\ \\ when \: n = 2 \\ t_{2} = 3.2 + 4 = 6 + 4 = 10 \\ \\ \ when \: n = 3 \\ t_{3} = 3.3 + 4 = 9+ 4 = 13 \\ \\ when \: n = 4 \\ t_{4} = 3.4 + 4 = 12+ 4 = 16 \\ \\ when \: n = 10 \\ t_{10} = 3.10 + 4 = 30+ 4 = 34 \\ \\ [/tex]
Thus the 1st, 2nd, 3rd, 4th and 10th terms are 7, 10, 13, 16 and 34 respectively
What is the value of the discriminant? 3y2 = 8y + 2
−40
56
72
88
Answer:
88
Step-by-step explanation:
a = 3
b = -8
c = -2
(-8)² 4(3)(-2) = 64 + 24
PLEASE HELP!!
Solve for m
m+7=3+m+4
Answer:
M = -7
Step-by-step explanation:
It makes sense if you replace it in for M! Hope this helps and have a great day!
Find the value of x
Answer:
x=80
Step-by-step explanation:
(x+30)=110 because they are vertically opposite angles.
x+30=110
x=110-30
x=80
Answer:
x = 80 degrees
Step-by-step explanation:
x + 30 = 110
- 30 = -30
x = 80 degrees
Write the equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
y = 2x^2 + 2
Step-by-step explanation:
y-2=2(x-0)^2
Vertex: (0,2)
Axis of Symmetry is x=0
Opens upward
Hope that helps :)
help asap i am struggling see image for problem
Answer:
p = 132 - 30d
Step-by-step explanation:
Here, we can plug in x = 6 into the equation provided at the end of the problem.
p = 6[25 - (3 +5d)]
p = 150 - 18 - 30d
p = 132 - 30d
A store gives customers a markup of 13%. If the store sells a belt for $25, what was the wholesale price paid for the belt by the store?
Answer:
$22.12
Step-by-step explanation:
Let x be the wholesale price (the price before adding the markup).
The markup is 13%, so 13% of x is added to x.
x + 13%x = $25
x + 0.13x = 25
1.13x = 25
x = 25/1.13
x = 22.12
A community is considering raising funds to pay for improvements to the community swimming pool. To measure the
level of interest, community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230
residents contacted, 157 support raising funds to pay for improvements. Which of the following represents the
sample in this setting?
O all residents of the community
O the 230 residents who were interviewed
O all residents who use the community pool
O the 157 residents who support raising funds
Mark this and return
Save and Exit
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Submit
Answer:
All residents of the community
Step-by-step explanation:
Not sure if this is fully correct but the 2nd and 3rd option is wrong (Edg 2021)
The correct option is b. the 230 residents who were interviewed.
Given,
A community is considering raising funds to pay for improvements to the community swimming pool. community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230 residents contacted, 157 support raising funds to pay for improvements.
Now we have to find the sample in this setting.
A sample is the specific group that you will collect data from.
Here, 230 residents contacted, so the Sample is 230 residents.
Hence the correct option is b.the 230 residents who were interviewed.
For more details on Sample follow the link:
https://brainly.com/question/350477
If someone makes as many slices of toast as possible in 4 minutes and 40 seconds, how many slices do think they can make
Answer:
If they can do x slices per second, they could do 280x slices
Step-by-step explanation:
4 min 40 sec -> 280 secs
280 * 5 = 1400
Please help! What is the area of this figure?
Answer and explanation please! <3
Answer:
19 units²
Step-by-step explanation:
Divide into three shapes:
Large rectangle BEFA
Large triangle - BCE
Small triangle - CDE -
BEFA = 4x3 = 12
BCE = 1/2x4x2 = 4
CDE = 1/2x3x2 = 3
12+4+3=19
Please help! What is the Area of the Triangle?
Answer and explanation please! <3
Answer:
area of a triangle is equals to sum of all side
Answer:
5√5
Step-by-step explanation:
the area of the triangle is, "base len x height"
the base in here is √1^2 + 2^2 = √5
its height is √4^2 + 3^2 = 5
so the area is √5 x 5 = 5√5
Can you help me, please?
Answer:
The first one is two over four
Step-by-step explanation:
Solve for x:
-2x + 11 = 23
6
-6
12
-12
Answer:
x = -6
Step-by-step explanation:
Find the slope of the line.
Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
What is the answer for B
Please help and use the proper theorem!
The Adams family drove 319 miles in 5.5 hours. At this same rate, how many miles would they drive in
3 hours?
A:164 B:174 C:180 D:144
What is the value of arccos(−1/2)in radians?
Answer:
2.0943951 radians
Step-by-step explanation:
show proof and work for brainliest
Find the general solution of DE 4y "+ y '= 0
Answer:
y=a+be^(-1/4t)
Step-by-step explanation:
We can solve the characteristic equation, 4r^2+r=0 to help.
Factor:
r(4r+1)=0
This implies r=0 or 4r+1=0.
The second equation can be solved by subtracting 1 on both sides and then dividing boths sides by 4 like so:
4r+1=0
4r+1-1=0-1
4r=-1
4r/4=-1/4
r=-1/4
So r=0 and r=-1/4 which means the general solution is y=ae^(0t)+be^(-1/4t)
Simplifying gives y=a+be^(-1/4t) since e^0=1.
Let's check our solution.
y=a+be^(-1/4t)
y'=0+-1/4be^(-1/4t)
y''=0+1/16be^(-1/4t)
Plug in:
4y''+y'=0
4*1/16be^(-1/4t)+-1/4be^(-1/4t)=0
1/4be^(-1/4t)+-1/4be^(-1/4t)=0
0=0 is a true equation so the solution has been verified.
an exponential function f is defined by f(x)=c^x where c is a constant greater than 1 if f (7) = 4 x f (5) what is the value of c
From the above, it can be seen that the nature of polynomial functions is dependent on its degree. Higher the degree of any polynomial function, then higher is its growth. A function which grows faster than a polynomial function is y = f(x) = ax, where a>1. Thus, for any of the positive integers n the function f (x) is said to grow faster than that of fn(x).
Thus, the exponential function having base greater than 1, i.e., a > 1 is defined as y = f(x) = ax. The domain of exponential function will be the set of entire real numbers R and the range are said to be the set of all the positive real numbers.
It must be noted that exponential function is increasing and the point (0, 1) always lies on the graph of an exponential function. Also, it is very close to zero if the value of x is mostly negative.
Exponential function having base 10 is known as a common exponential function. Consider the following series:
Derivative of logarithmic and exponential function 5
The value of this series lies between 2 & 3. It is represented by e. Keeping e as base the function, we get y = ex, which is a very important function in mathematics known as a natural exponential function.
For a > 1, the logarithm of b to base a is x if ax = b. Thus, loga b = x if ax = b. This function is known as logarithmic function.
Derivative of logarithmic and exponential function 2
For base a = 10, this function is known as common logarithm and for the base a = e, it is known as natural logarithm denoted by ln x. Following are some of the important observations regarding logarithmic functions which have a base a>1.
The domain of log function consists of positive real numbers only, as we cannot interpret the meaning of log functions for negative values.
For the log function, though the domain is only the set of positive real numbers, the range is set of all real values, i.e. R
When we plot the graph of log functions and move from left to right, the functions show increasing behaviour.
The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them.
Derivative of logarithmic and exponential function 3
Logap = α, logbp = β and logba = µ, then aα = p, bβ = p and bµ = a
Logbpq = Logbp + Logbq
Logbpy = ylogbp
Logb (p/q) = logbp – logbq
Exponential Function Derivative
Let us now focus on the derivative of exponential functions.
The derivative of ex with respect to x is ex, i.e. d(ex)/dx = ex
It is noted that the exponential function f(x) =ex has a special property. It means that the derivative of the function is the function itself.
(i.e) f ‘(x) = ex = f(x)
Exponential Series
Exponential Functions
Exponential Function Properties
The exponential graph of a function represents the exponential function properties.
Let us consider the exponential function, y=2x
The graph of function y=2x is shown below. First, the property of the exponential function graph when the base is greater than 1.
Exponential Functions
Exponential Function Graph for y=2x
The graph passes through the point (0,1).
The domain is all real numbers
The range is y>0
The graph is increasing
The graph is asymptotic to the x-axis as x approaches negative infinity
The graph increases without bound as x approaches positive infinity
The graph is continuous
The graph is smooth
Exponential Functions
Exponential Function Graph y=2-x
The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.
The line passes through the point (0,1)
The domain includes all real numbers
The range is of y>0
It forms a decreasing graph
The line in the graph above is asymptotic to the x-axis as x approaches positive infinity
The line increases without bound as x approaches negative infinity
It is a continuous graph
It forms a smooth graph
Exponential Function Rules
Some important exponential rules are given below:
If a>0, and b>0, the following hold true for all the real numbers x and y:
ax ay = ax+y
ax/ay = ax-y
(ax)y = axy
axbx=(ab)x
(a/b)x= ax/bx
a0=1
a-x= 1/ ax
Exponential Functions Examples
The examples of exponential functions are:
f(x) = 2x
f(x) = 1/ 2x = 2-x
f(x) = 2x+3
f(x) = 0.5x
Solved problem
Question:
Simplify the exponential equation 2x-2x+1
Solution:
Given exponential equation: 2x-2x+1
By using the property: ax ay = ax+y
Hence, 2x+1 can be written as 2x. 2
Thus the given equation is written as:
2x-2x+1 =2x-2x. 2
Now, factor out the term 2x
2x-2x+1 =2x-2x. 2 = 2x(1-2)
2x-2x+1 = 2x(-1)
2x-2x+1 = – 2x
A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes per month). Studies have shownthat 80% of the people who were Low users one month will be Low users the nextmonth, and that 70% of the people who were High users one month will be Highusers the next month.
(a) Set up the 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions
(b) Suppose that, during the month of January, 50% of the customers were Low users. What percent of the customers will be Low users in February? In March? (Type an integer or decimal for each matrix element.)
1. The stochastic matrix for the given transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. 40.0% people in February and 32.0% people in March will be the low users if there are 50% low users in January.
It is given that,
80% of the people who were Low users one month will be Low users the next month.
That means for the transition low-low (L-L)
p = 0.80
So, for Low-high transition (L-H)
p = 1-0.80 = 0.20
It is also given that 70% of the people who were High users one month will be High users the next month.
That means, p = 0.70 for the transition high-high (H-H)
Then for H-L transition, p = 1-0.70 = 0.30
(a) The 2x2 stochastic matrix for these transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
(b) Given that 50% users are the low users in month of January.
[tex]\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%[/tex]= (0.50 x 0.80)x100%
= 0.4x 100%
=40.0%
Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%
=(0.40x0.80)x100%
=0.32x100%
=32.0%
Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Therefore, the results are:
1.2x2 stochastic matrix for the transitions is as:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. The percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Learn more about stochastic matrix here:
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How are land parcels valued?
You are given two functions f(x) and g(x). How has the graph of g(x) changed from that of f(x)?
f(x) = log (x + 1)
g(x) = log (x - 2) + 5
A)
g has been shifted up five units and to the left two units from f
B)
g has been shifted up five units and to the right three units from f
C)
g has been shifted down five units and to the left two units from f
D)
g has been shifted down five units and to the right three units from f
Answer:
C. g has been shifted down five units and to the left two units from f
Step-by-step explanation:
Sana makatulong
A line has a slope of 1/2 and passes through the point (6,2).
a) Write the equation of this line in point-slope form
(b) What is the y-intercept of this line?
Answer:
a) y-2=1/2(x-6) b) The y-intercept of this line is -1.
Step-by-step explanation:
y-y1=m(x-x1)
y-2=1/2(x-6)
------------------
y=1/2x-6/2+2
y=1/2x-3+2
y=1/2x-1
y=mx+b where m=slope and b=y-intercept.
please help me asap
Answer C
Step-by-step explanation:
What is the nth term of 60, 110, 160?
Answer and Step-by-step explanation:
The pattern increases by 50 each time.
So, it would be 50n + 60.
#teamtrees #PAW (Plant And Water)
Consider the point on the polar graph below.
Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=
J0IN G00GLE MEET GIRL$
wnp-hxru-ipf
according to the Michigan DNR, the wolf population on Beaver Island can be modeled by the equation P= 1300(.87)^x. Is the population increasing or decreasing, and by what percent?
Answer:
The population is decreasing by 13%.
Step-by-step explanation:
The standard exponential equation can be modeled by:
y = A(1 ± r)^x
the 20% tip on a $8 sandwich
Answer:
Tip of $1.60
The total is $9.60
Step-by-step explanation:
(20% × $8) + $8
$1.60 + $8
$9.60
Evaluate the expression: 1/3 (4x3)+2^3.
PLEASE HELP ;(
If x varies directly as y, find
x when y = 8.
x = 11 when y = -3
X =
Answer:
1638 or 1368!
Step-by-step explanation: