Answers
Answer:
Option (1)
Step-by-step explanation:
We need a recursive formula.
Eliminate option 3.The common ratio is 2.
Eliminate options 2 and 4.So, the answer is option 1.
Related Questions
Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
4
6
Answers
Answer:
144π or 452.16 units³
Step-by-step explanation:
The formula for volume of a cylinder is [tex]\pi r^2 h[/tex]. We can use the given values for radius and height to find the volume of the cylinder.
Finding the Volume[tex]V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16[/tex]
The volume of the cylinder is 144π or 452.16 units³.
Find the indicated maximum or minimum value of f subject to the given constraint. maximum: f(x,y,z)=x2y2z2; x2 y2 z2=4
Answers
The indicated maximum or minimum value of f is subject to the given constraint maximum is 125/27.
An instance of a constraint is the fact that there are only such a lot of hours in a day to perform things. Embarrassed reserve or reticence; awkwardness. One that restricts, limits, or regulates; a take a look at.
A constraint is something that limits or controls what you can do. Their decision to abandon the trip was made due to monetary constraints. Water shortages in the location can be the primary constraint on development. Synonyms: restriction, issue, lessen, rein greater Synonyms of constraint.
Constraints are used to limit the kind of records which can move right into a desk. This guarantees the accuracy and reliability of the facts inside the table. If there's any violation between the constraint and the facts motion, the motion is aborted. Constraints can be column stage or desk level.
From &22 = x²y 2
2
Given 2²+7+2=5
= <**,4),2=>
By Logange's multijet
(2643805 = 12'aresta
Mithaling by by and
and y
x²²* = P ←
: +(1,2,2) = $
= 125
279
The maximum value is 12r
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hey can you help me answer this i am stuck
Answers
If the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.
Given a function of x f(x)=1/(6x+6).
We are told to find out the value of the variable x for which the function does not lie.
Function is like a relationship between two or more variables expressed in equal to form. The values entered in a function is known as domain and the values which we get after entering of values are known as range.
f(x)=1/(6x+6)
It is in form of fraction. Fraction is a combination of numbers in which the above number is numerator and below number is denominator.
In this (6x+6) cannot be equal to 0 because if (6x+6) equal to 0 then the value of function becomes infinity.
So,
6x+6=0
6x=-6
x=-1
Hence if the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.
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What is the end behavior of the radical function represented by this graph? The graph shows the square root function. The function starts at the point (minus 3, 0) and extends upwards and to the right. Some major points on the graph are (0, 3), (2, 4), and (5, 5). A. As x decreases in value, increases in value. As x increases in value, decreases in value. B. As x decreases in value, increases in value. As x increases in value, increases in value. C. As x decreases in value, decreases in value. As x increases in value, increases in value. D. As x decreases in value, decreases in value. As x increases in value, decreases in value.
Answers
The option that describes the end behavior of the graph of the square root function with coordinates (-3, 0), (0, 3), (2, 4), and (5, 5), is the option;
C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.
Which method can be used to find the end behavior of the graph?The given coordinates on the graph are;
(-3, 0), (0, 3), (2, 4), and (5, 5)
The coordinates of the starting point of the graph = (-3, 0)
Shape of the graph = Extends from point (-3, 0), upwards and to the right
Therefore;
As the x-value increases, the y-value increases and vice versa, with, x increasing faster than y.
However, given that the graph is for a square root function, the correct option is option C;
C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.
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How many solutions does the equation 4y − 4y − 12 = 14 − 2 have? one zero two many
Answers
Answer:Many
Step-by-step explanation:
As the unknown cancels itself out, it could be absolutely any number. So there are many solutions.
Which algebraic expression represents the following: the sum of four times a number and six? (1 point) 4x + 6
Answers
The algebraic expression of the statement is 4x + 6
How to determine the algebraic expression?The statement is given as:
The sum of four times a number and six
Rewrite as:
The sum of 4 times a number and 6
Let the number be x
So, we have
The sum of 4 times x and 6
Evaluate the product
The sum of 4x and 6
Evaluate the sum
4x + 6
Hence, the algebraic expression of the statement is 4x + 6
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Find the 4 terms in the sequence given [tex]an=n^2+4[/tex]
Answers
Answer:
a₁ = 5
a₂ = 8
a₃ = 13
a₄ = 20
Step-by-step explanation:
Given sequence formula
aₙ = n² + 4
Requirement of the question
Find the 4 terms in the sequence
Substitute 4 values into the sequence formula
a₁ = (1)² + 4 = 1 + 4 = [tex]\Large\boxed{5}[/tex]
a₂ = (2)² + 4 = 4 + 4 = [tex]\Large\boxed{8}[/tex]
a₃ = (3)² + 4 = 9 + 4 = [tex]\Large\boxed{13}[/tex]
a₄ = (4)² + 4 = 16 + 4 = [tex]\Large\boxed{20}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A line that includes the points (j,
–
7) and (5,3) has a slope of
10
7
. What is the value of j?
Answers
Answer:
j = 7.8.
Step-by-step explanation:
The slope of the line = difference in y-values / corresponding difference in x-values.
Slope = (7-3) / (j-5) = 10/7
so 10(j - 5) = 7*4
10j - 50 = 28
10j = 78
j = 7.8.
help pls i will give brainleast no links
Answers
Answer: 100 square cm
Step-by-step explanation: the triangle is 33 cm and the big rectangle is 9x7 square cm. There is a small square that is 2x2 =4 cm so the total is 33 +63 + 4 which is 100 cm.
Answer: 104
Step-by-step explanation:
area of trangle =33 because 6*11/2=33
area of rectangle 9*7=63
area of rectangle 2*2=4
33+63+4=100^2
what’s the inverse function of f
f(x)=x+2/7
Answers
Answer: A
Step-by-step explanation:
Let f(y)=x.
[tex]x=\frac{y+2}{7}\\\\7x=y+2\\\\y=7x-2\\\\f^{-1}(x)=7x-2[/tex]
Please help with number 5 I tried it but I’m very confused :(
Answers
Answer: [tex]\Large\boxed{15~dimes~;~9~nickels}[/tex]
Step-by-step explanation:
Given information
Number of coins = 24 coins
Total amount = $1.95
Dime = 10 cents = $0.1
Nickel = 5 cents = $0.05
Set variables
Let d be the number of dimes
Let n be the number of nickels
Set a system of equation
1) d + n = 24
2) 0.1d + 0.05n = 1.95
Multiply 10 on both sides of 2) equation
0.1d · 10 + 0.05n · 10 = 1.95 · 10
d + 0.5n = 19.5
Current system
1) d + n = 24
2) d + 0.5n = 19.5
Subtract 2) equation from the 1) equation
(d + n) - (d + 0.5n) = (24) - (19.5)
Expand the parenthesis
d + n - d - 0.5n = 24 - 19.5
Combine like terms
d - d + n - 0.5n = 4.5
0.5n = 4.5
Divide 0.5 on both sides
0.5n / 0.5 = 4.5 / 0.5
[tex]\Large\boxed{n=9}[/tex]
Substitute the n value into one of the equations to find the d value
d + n = 24
d + (9) = 24
d = 24 - 9
[tex]\Large\boxed{d=15}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
n + d = 24
0.05n + 0.1d = 1.95
I used substitution
n = 24 - d
0.05(24 - d) + 0.1d = 1.95
1.2 - 0.05d + 0.1d = 1.95
1.2 + 0.05d = 1.95
0.05d = 0.75
d = 15 or 15 dimes
Plug in
n + d = 24
n + 15 = 24
n = 9 or 9 nickels
Check
0.05n + 0.1d = 1.95
0.05(9) + 0.1(15) = 1.95
0.45 + 1.50 = 1.95
1.95 = 1.95
A lighthouse is located at (1, 2) in a coordinate system measured in miles. a sailboat starts at (–7, 8) and sails in a positive x-direction along a path that can be modeled by a quadratic function with a vertex at (2, –6). which system of equations can be used to determine whether the boat comes within 5 miles of the lighthouse? startlayout enlarged left-brace 1st row (x minus 1) squared (y minus 2) squared = 5 2nd row y = startfraction 14 over 81 endfraction (x minus 2) squared minus 6 endlayout startlayout enlarged left-brace 1st row (x minus 1) squared (y minus 2) squared = 25 2nd row y = startfraction 14 over 81 endfraction (x minus 2) squared minus 6 endlayout startlayout enlarged left-brace 1st row (x minus 1) squared (y minus 2) squared = 5 2nd row y = negative startfraction 14 over 81 endfraction (x 7) squared 8 endlayout startlayout enlarged left-brace 1st row (x minus 1) squared (y minus 2) squared = 25 2nd row y = negative startfraction 14 over 81 endfraction (x 7) squared 8 endlayout
Answers
The system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is:
y = (2/7)(x - 2)^2 - 6(x - 1)^2 + (y - 2)^2 = 5^2What are equations?The equation is described as the state of being equal and is commonly represented as a math expression with equal values on either side, or it refers to an issue in which many factors must be considered. 2+2 = 3+1 is an example of an equation.To find the system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse:
The vertex form of a quadratic function is given by: f(x) = a(x - h)^2 + k
Where (h, k) is the vertex of the parabola, a is constant.
For the sailboat we have vertex: (h, k) = (2, -6) and one point: (-7, 8) that is f(-7) = 8.
f(x) = a(x - 2)^2 - 6We will find a using f(-7) = 8:
f(-7) = a(-7-2)^2 - 6f(-7) = 49a - 649a - 6 = 849a = 14a = 14/49a = 2/7The quadratic function for the sailboat is given by:
f(x) = (2/7)(x - 2)^2 - 6 or y = (2/7)(x - 2)^2 - 6The equation for a circle with a radius of 5 and center (1, 2) is:
(x - 1)^2 + (y - 2)^2 = 5^2Therefore, the system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is:
y = (2/7)(x - 2)^2 - 6(x - 1)^2 + (y - 2)^2 = 5^2Know more about equations here:
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The correct form of the question is given below:
A lighthouse is located at (1, 2) in a coordinate system measured in miles. a sailboat starts at (–7, 8) and sails in a positive x-direction along a path that can be modeled by a quadratic function with a vertex at (2, –6). which system of equations can be used to determine whether the boat comes within 5 miles of the lighthouse?
Of all the numbers whose difference is 10, find the two that have the minimum product
Answers
Answer: -9
Step-by-step explanation: You might think that the smallest two numbers are 11 and 1 but there are negative numbers. 1 - (-9) is equal to 10. 1 x (-9) is -9.
Please answer the one this exercises if you can send photos sent it pls and you have to use quadratic function for these Thanks
Answers
The expression of the equation will be:
x² - 8x = x(x - 8)
x² - 10x = x(x - 10)
x² - 5x = x(x - 5)
x² - 3x = x(x - 3)
How to compute the equation?It should be noted that an equation simply means the expression of the variables that are given.
In this case, the following can be represented:
x² - 8x = x(x - 8)
x² - 10x = x(x - 10)
x² - 5x = x(x - 5)
x² - 3x = x(x - 3)
This is illustrated above.
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Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply
Answers
Answer:
the answer is 1,2,4,5 and 7.
Answer: The answer is A,B,D,E,G
Step-by-step explanation: just trust me and enjoy your write answers. Have a nice day.
20 points and marked brainlyist help me ASAP
Answers
Answer + Step-by-step explanation:
(a)
Check the attached image.
(b)
Range of sample means : 7.5 - 5.75 = 1.25
(c)
The closer the range of the sample means is to 0 ,
the more confident they can be in their estimate . [tex]\huge \checkmark[/tex]
The farther the range of the sample means is from 0 ,
the more confident they can be in their estimate .
The mean of the sample means will tend to be a better estimate
than a single sample mean . [tex]\huge \checkmark[/tex]
A single sample mean will tend to be a better estimate
than the mean of the sample means .
Find the equation of a line that passes through the points (-2,-3) and (4,1)
Answers
The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
[tex]m = \frac{(y_2) -(y_1)}{(x_2) -(x_1)}[/tex]
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
[tex]y - (y_1) = m(x -x_1)[/tex]
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
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An industrial machine produces widgets, but it has a 0.12 defective rate. what is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?
Answers
The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.
What is the probability?A probability refers to the ratio of favorable events to the n number of total events.
Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.
Given data
An industrial machine produces 3 widgets.
It has a 0.12 defective rate.
Defective rate fewer than 3
Total Probability = P of 2 defective + P for 1 defective
Total Probability = 2/74 + 1/73
Total Probability ≈ 0.04072565716
Total Probability ≈ 0.041
Therefore, the required probability for fewer than 3 defective rate is 0.041
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In the diagram below, if < ACD = 48 °, find the measure of < ABD.
Answers
Answer:
d
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral sum to 180° , that is
∠ ABD + ∠ ACD = 180°
∠ ABD + 48° = 180° ( subtract 48° from both sides )
∠ ABD = 132°
How many diagonals does a regualt hexagon have?
Answers
Answer: 9 diagonals
Step-by-step explanation:
Solve following equation:
[tex]4x+10=-2+4[/tex]
Answers
Step-by-step explanation:
4x + 10 = -2 + 4
4x = -2 + 4 - 10
4x = -8
x = -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{4x + 10 = -2+ 4}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{4x + 10 = 2}[/tex]
[tex]\huge\textbf{Subtract 10 to both sides:}[/tex]
[tex]\mathsf{4x + 10 - 10 = 2 - 10}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{4x = 2 - 10}[/tex]
[tex]\mathsf{4x = -8}[/tex]
[tex]\huge\textbf{Divide 4 to both sides:}[/tex]
[tex]\mathsf{\dfrac{4x}{4} = \dfrac{-8}{4}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{x = \dfrac{-8}{4}}[/tex]
[tex]\mathsf{x = -2}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the consecutive numbers such that the sum of four times the first and triple the second is 157 (Linear systems)
Answers
Answer:
22, 23
Step-by-step explanation:
4x + 3(x + 1) = 157
4x + 3x + 3 = 157
7x + 3 = 157
7x = 154
x = 22
Please help me asap
a. What is the area of the roof that needs to be covered?
b. How many shingles do you need to buy?
Answers
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
How many shingles and how many area do we need to cover a root?
In this question we must determine both the surface area and the number of shingles to cover two roof configurations as well. In the first case, we calculate the surface area, which is the sum of the area of rectangles:
A = 2 · (8 ft) · (12 ft) + 2 · (6 ft) · (12 ft)
A = 336 ft²
And the number of shingles required to cover the root is:
n = (336 ft²) / (4 ft²)
n = 84
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
In the second, we only need to cover the very top surface. The area and the number of shingles are, respectively:
A = 2 · (5 ft) · (22 ft)
A = 220 ft²
n = (220 ft²) / (2 ft²)
n = 110
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
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if b=7, what is the value of the expression2(10-b)?
Answers
Answer: 6
Step-by-step explanation: Since we substitute the b with 7, 10-7= 3. Since the 2 is next to the parentheses, we multiply 3 by 2, getting 6.
Hey there!
2(10 - b)
= 2(10 - 7)
= 2(10) + 2(-7)
= 20 - 14
= 6
OR
2(10 - b)
= 2(10 - 7)
= 2(3)
= 6
Therefore, your answer should be: 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative. ) g(t) = 8 t t2 t
Answers
The most general antiderivative of the given function g(t) is (8t + t³/3 + t²/2 + c).
The antiderivative of a function is the inverse function of a derivative.
This inverse function of the derivative is called integration.
Here the given function is: g(t) = 8 + t² + t
Therefore, the antiderivative of the given function is
∫g(t) dt
= ∫(8 + t² + t) dt
= ∫8 dt + ∫t² dt + ∫t dt
= [8t⁽⁰⁺¹⁾/(0+1) + t⁽²⁺¹⁾/(2+1) + t⁽¹⁺¹⁾/(1+1) + c]
= (8t + t³/3 + t²/2 + c)
Here 'c' is the constant.
Again, differentiating the result, we get:
d/dt(8t + t³/3 + t²/2 + c)
= [8 ˣ 1 ˣ t⁽¹⁻¹⁾ + 3 ˣ t⁽³⁻¹⁾/3 + 2 ˣ t⁽²⁻¹⁾/2 + 0]
= 8 + t² + t
= g(t)
The antiderivative of the given function g(t)is (8t + t³/3 + t²/2 + c).
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he cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Exceeds 3 minutes
Answers
The probability that the service time will be more than three minutes is 0.3012.
Given that the average wait time at the Rivertown bank's neighborhood branch is 2.5 minutes and has an exponential distribution,
The time it takes to succeed in a continuous sequence of independent trials is described by the exponential distribution, which is a continuous probability distribution.
At the River Town Bank's neighborhood branch, the random variable X service time has an exponential distribution with a mean value of 2.5 minutes. Therefore,
[tex]f(x)=\left\{\begin{array}{ll}\theta e^{-\theta x},& \theta \geq 0,0\leq x\leq \infty\\0&\text{otherwise}\end{array}[/tex]
E(x)=1/θ
θ=1/2.5
θ=0.4
The probability that the service time will be longer than three minutes:
[tex]\begin{aligned}P(X > 3)&=1-P(X\leq 3)\\ &=1-(1-e^{-0.4\times 3}\\ &=e^{-1.2}\\ &=0.3012\end[/tex]
Since the service duration has an exponential distribution and a mean of 2.5 minutes, the needed chance that it will exceed 3 minutes is 0.3012.
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What is the end behavior of the function f of x equals negative 2 times the cube root of x?
Answers
Concluding, the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
as x ⇒ -∞, f(x) ⇒ ∞
What is the end behavior of the given function?
Here we have the function:
[tex]f(x) = -2*\sqrt[3]{x}[/tex]
When we evaluate the function in x that tends to positive infinity, the cubic root also tends to infinity, while because of the negative factor that multiplies it, we conclude that the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
When x tends to negative infinity, the opposite happens:
as x ⇒ -∞, f(x) ⇒ ∞
Concluding, the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
as x ⇒ -∞, f(x) ⇒ ∞
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I need this question to be done please I beg u.
It’s very important
I will fail if not done please help me
U must Determine the zeros of each following
Answers
b) x = 9 x = -5
c) x = -4 x = -2
Answer:
here's your answer step by step explanation
Step-by-step explanation:
page 6 is missing comment me i will send you page 6
Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?
Answers
The probability of p(2 aces) is greater than the probability of p(3 diamonds).
Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.
A deck of cards always has 52 cards.
Out of those 52 cards, there are 4 different aces.
The deck of cards also contains 13 diamonds.
Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.
Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.
If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).
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HELPPPP‼️‼️‼️
If x is the first of two consecutive odd integers, and the sum of the two integers is 72, what is the smaller of the two integers?
Answers
Answer:
x = 35.
Step-by-step explanation:
since they are odd, the second number isn't x + 1, it is x + 2.
x + x + 2 = 72
2x + 2 = 72
2x = 70
x = 35
