The third term in the sequence generated by 5n is 15.
According to the question,
We have the following information:
The sequence is given by the formula 5n.
In this case, n represents the number of the term.
(Note that the sequence generated by this formula can not be a geometric sequence because the common ratio of these terms is not the same.)
So, we have to find the 3rd term of this sequence. Then, we will find the value of this sequence by putting the value of n as 3.
So, we have the following expression:
5*3
15
Hence, the third term in the sequence generated by 5n is 15.
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Please help with algebra. Find the formula for an exponential equation that passes through the points, (0,2) and (1,6). The exponential equation should be of the form y=abx.
The exponential function has an equation of f(x) = 2(3)^x
How to determine the equation of the exponential function?From the question, we have the following points that can be used in our computation:
(0, 2) and (1,6)
Also, we understand that
Function type = Exponential function
An exponential function is represented as
f(x) = ab^x
At point (0, 2), we have
2 = ab^0
Evaluate
a = 2
Substitute a = 2 in f(x) = ab^x
f(x) = 2b^x
At point (1, 6), we have
6 = 2b^1
This gives
2b = 6
Divide
b = 3
So, we have
f(x) = 2(3)^x
Hence, the equation of the exponential function is f(x) = 2(3)^x
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PLEASE HELPPP!!!! DESPERATEEEEEEE
Pablo has a goal to lose 25lb. He has lost 16lb. What percent of his goal has been reached
A writer earns $3400 a month. Last month she spent 204 on food. what percent of her income was spent on food
1. (2ab^5)^4/ab^3
2. (x^3y^5/ab^7)^2
3. 5mn^7-1
ANSWER :
[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]
= (2ab^5)^4
= 2ab^5×2ab^5×2ab^5×2ab^5
= 16a^4b^9
= 16a^4b^9/ab^3
= 16a^3b^17
[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]
= (x^3y^5)^2
= (x^6y^10)
= (ab^7)^2
= (ab^14)
= (x^6y^10)/ab^14
[tex] \rm3.)4mn {}^{7} [/tex]
= 5mn^7 - 1
= 4mn^7
Which algebraic expression represents “the apples were divided equally into seven boxes”?
Answer:
Step-by-step explanation:
a=apples
a/7
Ojojo and fifi shared an amount of
ratio 3. 4 respectively.
money
If frifi had 140000 had much was
Shared ?
The total amount that was shared $245000 .
In the question ,
the ratio of amount shared by JoJo and Frifi is given
the ratio is given as 3:4 .
the amount that JoJo get = 3x
the amount that Frifi get = 4x
given that Frifi got $140000 .
So , 4x = 140000
Dividing both sides by 4 ,
we get ,
x = 140000/4
x = 35000
total amount shared = 3x + 4x = 7x
Substituting the values of x = 35000 , we get
total amount shared = 7*35000
= 245000
Therefore , The total amount that was shared $245000 .
The given question is incomplete , the complete question is
JoJo and Frifi shared an amount in the ratio 3:4 respectively , if Frifi had $140000 , then find the total amount that was shared ?
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¿Alguien sabe como resolver esta acertijo ?
Un conductor conduce una guagua/autobús de 56 personas, en una parada bajan 31 personas, en la siguiente suben 18 y en la siguiente bajan 16
¿ cuantos años tiene el conductor ?
Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.
¿Cómo determinar la edad del conductor según el acertijo?
Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.
Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.
En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:
x = 56 - 31 + 18 - 16
x = 27
El conductor tiene una edad de 27 años.
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52% of all americans are home owners. if 41 americans are randomly selected, find the probability that a. exactly 19 of them are are home owners. b. at most 24 of them are are home owners. c. at least 23 of them are home owners. d. between 19 and 27 (including 19 and 27) of them are home owners.
With the help of permutanions and combinations we can conclude the answer.
What is permutations and combinations?By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.Here is a detailed explanation of permutation and combination, along with their distinctions.acc to our question-
a= total americans -41 probability of 19 of them is house owner= 41C19b= total americans -41 probability of 24 of them is house owner41C24Hence ,permutanions and combinations concept helped us to reach our solution.
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Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through
the point (9, -2)
Answer:
y = -1/3x + 1
Step-by-step explanation:
1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.
~-1/3 will be the new slope
2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.
~ y - (-2) = -1/3(x-9)
3) Now simplify everything you can
~y+2 = -1/3(x-9)
4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3
5) Now we need to subtract 2 from both sides to get y by itself.
~y = -1/3x + 1
The rectangular floor of a classroom is 36 feet in length and 28 feet in width. a scale drawing of the floor has a length of 9 inches. what is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of the floor in the scale drawing is 32 inches.
Using ratio and proportion, determine the width of the scale drawing of the floor.
actual length / scale length = actual width / scale width
36 feet / 9 inches = 28 feet / scale width
scale width = 28 feet (9 inches / 36 feet)
scale width = 7 inches
Perimeter is defined as distance around a two-dimensional shape.
The perimeter of a rectangle can be calculated using the formula below.
P = 2(l + w)
where P = perimeter
l = length
w =width
Plug in the values of the dimension of the scale drawing and determine its perimeter.
P = 2(l + w)
P = 2(9 inches + 7 inches)
P = 32 inches
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a bag contains 14 blue, 6 red, 12 green, and 8 purple marbles. 25 marbles are removed from the bag randomly. how many of the removed marbles were green if the chance of drawing a green marble from the bag is now 3/5?
The number of green marbles removed from the bag is 3.
We will use the Formula of Probability:
In mathematics, the probability is defined as the ratio between the number of favorable outcomes and the total number of outcomes.
p(A) = n(A) / n(S)
p(A) is the probability of event A.
n(A) is the number of outcomes with respect to A.
n(S) is the total number of possible outcomes.
Given in the Question:
A bag contains 14 blue, 6 red, 12 green, and 8 purple marbles.
So the total number of marbles in the bag = 40
It is given that 25 marble are removed from the bag randomly
thus, the remaining marbles in the bag = 40 - 25 = 15
It is given that the probability of drawing a green marble from the bag after removing 25 marbles is 3/5.
So, for finding the number of green marbles in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of green marbles and p(A) = 3/5 and n(s) = 15 (after removing)
Thus, the number of green marbles in the bag after removing = 3/5 × 15
So, the number of green marbles left in the bag = 9
then, the green marbles removed from the bag = 12 - 9 = 3.
Therefore, only 3 green marbles are removed from the bag.
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Use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
A number line goes from negative 0.5 to positive 1.8 and shows points negative 0.5, 0, positive 0.5, 1, and 1.5. Marks divide the space between each number into 5 equal parts. Point a is on the third mark and point b is halfway between the third and fourth mark to the right of negative 0.5, point c is on the second mark after 0, point d is between the second and third mark after positive 1, point e is on positive 1.5, and point f is on the third mark after positive 1.5.
Based on the real number line shown below, each statement should be completed as follows:
The letter b best represents −0.1525.The letter f best represents 9/5.The letter a best represents −1/5.What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;
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what kind of autocorrelation is assumed in the classical linear regression model? what kind of autocorrelation is assumed in the classical linear regression model? positive autocorrelation negative autocorrelation no autocorrelation serial correlation g
We use the Serial Autocorrelation in the classical linear regression model.
In the classical linear regression model the serial autocorrelation is assumed to solve the problem.
Hence, we use the Serial Autocorrelation in the classical linear regression model.
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What is the correct standard form for 400+3+0.07+0.001 need answer asap
Answer:
403.071
Step-by-step explanation:
add
15÷(3+13)2
A 2
B 5
C p
D 2 over 5
Answer: D.
Step-by-step explanation:
x³+10<9 help pls pls pls pls pls pls
Answer:
x< -1
Step-by-step explanation:
x^3 < 9 - 10
x^3 < -1
x< -1
Answer:
x < -1
Step-by-step explanation:
x³<9-10
x³<-1
x < -1
Please mark as brainliest
Find the AGI and taxable income:
$23,670 and $12,400
$12,400 and $11,270
$11,270 and $23,670
$23,670 and $11,270
The AGI and taxable income is $23,670 and $11,270
How to calculate AGI(Adjusted gross income) ?
The AGI calculation can be done as,
It is determined by subtracting specified deductions, or "adjustments," that you are qualified to claim from the total income you report that is subject to income tax, such as wages from a job or self-employment, dividends, and interest from a bank account.Before you take the standard or itemized deductions, which you record in later sections of your tax return, your AGI is computed.We have given that,
Gross income = $23670
1 Exemption = $12400
Adjustment = 0
Deduction = 0
Find AGI and Taxable income
AGI = Adjusted gross income
we know,
AGI = Total income - Any deduction or any adjustment
AGI = ($23,670 + $12400) - (0 + 0)
AGI = $36070
Now, Calculate taxable income
Taxable income = Gross income - 1 Exemption
= $23670 - $12400
= $11,270
Hence, the AGI and taxable income is $36,070 and $11,270
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Answer: D is the answer
Step-by-step explanation:
$23,670 and $11,270
√15
3√6
This question is for radicals I have to do it for credit for this assignment and need help
Answer:
Step-by-step explanation:
And here is how to use it:
Example: simplify √12
12 is 4 times 3:
√12 = √(4 × 3)
Use the rule:
√(4 × 3) = √4 × √3
And the square root of 4 is 2:
√4 × √3 = 2√3
So √12 is simpler as 2√3
Another example:
Example: simplify √8
√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
And another:
Example: simplify √18
√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor the numbers (into prime numbers is best):
Example: simplify √6 × √15
First we can combine the two numbers:
√6 × √15 = √(6 × 15)
Then we factor them:
√(6 × 15) = √(2 × 3 × 3 × 5)
Then we see two 3s, and decide to "pull them out":
√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10
Fractions
There is a similar rule for fractions:
root a / root b = root (a / b)
Example: simplify √30 / √10
First we can combine the two numbers:
√30 / √10 = √(30 / 10)
Then simplify:
√(30 / 10) = √3
Some Harder Examples
Example: simplify
√20 × √5
√2
See if you can follow the steps:
√20 × √5
√2
√(2 × 2 × 5) × √5
√2
√2 × √2 × √5 × √5
√2
√2 × √5 × √5
√2 × 5
5√2
Example: simplify 2√12 + 9√3
First simplify 2√12:
2√12 = 2 × 2√3 = 4√3
Now both terms have √3, we can add them:
4√3 + 9√3 = (4+9)√3 = 13√3
Which of the following sets of numbers can be the lengths of the sides of a triangle?
2.6, 8.1, 10.2
6, 7, 13
1.2, 10.5, 2.1
6, 6, 12
Answer:6, 6, 12
Step-by-step explanation
2 sides must be equal which means 6 and 6 points are moving towards each other and 12 is the length
Which equation has the solution x = 9? Select each correct answer 0 +7=8 24-2x = 13 | | 4 + 5x = 18 0¹²-3=6 02x-3 = 15 3x + 2 = 25
HELP PLS!
For x to be a solution, there must be the quantity x in the equation.
All the equations that contain x are :
+) 24 - 2x = 13
+) 4 + 5x = 18
+) 2x - 3 = 15
+) 3x + 2 = 25
We will solve for the value of x for each of the equation :
+) 24 - 2x = 13
-> 2x = 24 - 13 = 11
-> x = 11/2 = 5.5
+) 4 + 5x = 18
-> 5x = 18 - 4 = 14
-> x = 14/5 = 2.8
+) 2x - 3 = 15
-> 2x = 15 + 3 = 18
-> x = 18/2 = 9
+) 3x + 2 = 25
-> 3x = 25 - 2 = 23
-> x = 23/3.
We can see, only the equation 2x-3 = 15 has x=9 as a solution.
If Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years, how much does Tristan pay interest
The amount of Interest Tristan pays is $955.2
Given:
Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.
we are asked to determine the interest Tristan pays for it:
we know:
P = $4000
r = 7.4%
t = 3 years.
Evaluate :
I = 4000(1+7.4%)³ - 4000
I = 4000(1+0.074)³ - 4000
I = 4000(1.074)³ - 4000
I = 4000(1.2388) - 4000
I = 4955.2 - 4000
I = 955.2
Hence we get the required interest as $955.2
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Need help
The equation of the line L1 is y = 3x - 2
The equation of the line L2 is 3y - 9x + 5 = 0
Show that these two lines are parallel
A 10 pound bag of apples costs $9.85 - what is the price per pound?
Answer:
Step-by-step explanation:
$9.85 / 10 ≈ $0.99
The average time it takes college freshmen to complete the mason basic reasoning test is 24.6 minutes. the standard deviation is 5.8 minutes. find the probability that the average completion time for a sample of 28 students will be more than 24 minutes. give your answer as a percent rounded to two decimal places (to the nearest hundredth).
The probability that the average completion time for a sample of 28 students will be more than 24 minutes is 0.46
The mean of freshman mason basic completion time is 24.6 minutes
The standard deviation is 5.8 minutes
The probability of completion for a sample of 28 students will be more than 24 minutes and can be found using the normal distribution,
P(x > 24)
We need to find the standard form of this random sample using the formula,
Z = X - μ / σ
where Z is the standard form
X is the random sample
μ is the mean
σ is the standard deviation
Let us substitute the known values in the above equation, we get
Z = 24 - 24.6/5.8
= -0.6 / 5.8
= -0.103
So the standard form is
P(x > 24) = P(z > -0.103)
By using the z-table, we could find the value of z,
P(z > -0.103) = 0.46
Therefore, the probability is 0.46
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f(x) = |x|-3; vertical shrink by a factor of 1/3
An equation that represents a vertical shrinkage of the graph of g(x)=1/3|x|-1 by a factor of three.
What is vertical shrink?A vertical stretch/shrink by a factor of k also means that the point (x, y) on the f (x) graph is transformed to the point (x, ky) on the g graph (x). Vertical Stretches and Shrinks Examples Consider the base functions (1) f (x) = x2 - 2, and (2) g(x) = sin (x). Stretches and shrinks, unlike translations, effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without changing its shape. Multiply or divide the output by a constant to stretch or shrink the graph in the y direction.Given,
f(x) = |x|-3;
vertical shrink by a factor of = 1/3
Therefore,
g(x)=1/3|x|-1
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What is the value of x?
4
4√3
12
12√2
Answer:
4√3
Step-by-step explanation:
This is a special right triangle with angle measures 30°-60°-90° and side lengths represented with a-a√3-2a respectively to angle measures.
Here, hypotenuse is given as 8 which is represented with 2a, so a = 4
Then x will be 4√3 as it's represented with a√3.
The value of x is [tex]4\sqrt{3}[/tex] .
What is a trignometric function?
The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Mention all trignometric function ?
sinФ ,cosФ ,tanФ ,cosecФ ,secФ ,cotФ
What is the trick to remember trignometric formulas ?
Some People Have Curly Brown Hair Turned Permanently Brown
sinФ=[tex]\frac{p}{h}[/tex]
cosФ=[tex]\frac{b}{h}[/tex]
tanФ=[tex]\frac{p}{b}[/tex]
cosecФ=[tex]\frac{h}{p}[/tex]
secФ=[tex]\frac{h}{b}[/tex]
tanФ=[tex]\frac{b}{p}[/tex]
Given:
A right angled triangle with
base, b
perpendicular, p
hypotenuse, h=8
angle ,Ф = 60°
So by trignometric formulas ,we get
sinФ = sin60° =[tex]\frac{p}{h}[/tex]
⇒[tex]\frac{\sqrt{3} }{2} = \frac{x}{8}[/tex]
⇒[tex]x = 4\sqrt{3}[/tex]
Hence ,the value of x is obtained .
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Solve the equation given a domain of {-3}.
3x - 2y = 5
Solution of the equation 3x-2y = 5 for domain {-3} is (-3,-7).
Given,
Eq => 3x - 2y = 5
Domain = x = -3
Put x = -3 in equation
3(-3) - 2y = 5
-9 - 2y = 5
-9 - 5 = 2y
-14 = 2y
y = - 14 / 2
= -7
Hence, solution is (-3,-7).
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2 1/2 divided by 2 1/4
Answer:
Step-by-step explanation:
(2 1/2) : (1/4) = 10/1 =10
Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.
1 2 3 4
f(n) 8 12 16 20
Is this an arithmetic sequence?
O No
OYes
The common difference is
Answer:
I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.
Need some help on this question:
The rule to get from one term to the next in a sequence is
Un+1 = 2Un
If U1=4, work out the values of U2, U3 and U4.
Will mark as Brainliest if correct answer is given. Thanks.
Answer:
8, 16, 32
Step-by-step explanation:
using the recursive formula [tex]U_{n+1}[/tex] = 2[tex]U_{n}[/tex] and U₁ = 4 , then
U₂ = 2 U₁ = 2 × 4 = 8
U₃ = 2 U₂ = 2 × 8 = 16
U₄ = 2 U₃ = 2 × 16 = 32
how many ways are there to select 5 scoops of ice cream to put into a bowl, chosen from baskin robbins 31 flavors? a flavor may be selected multiple times.
In permutation, ³¹C₅ are there to select 5 scoops of ice cream to put into a bowl .
What are some examples of permutation?
A permutation is a set up of things in a specific order. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. The components of set A cannot be arranged in any other way, as you can see.Total ice cream flavor n = 31 flavor
selection of (r) = 5 scoop
total number of ways to select 5 scoops of ice cream from 31 flovers
= ³¹C₅
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