The first four iterates of the function f(x) are 23, 163, 1143 and 8003
The function is given as:
[tex]f(x) = 7x + 2[/tex]
Where:
[tex]x_o=3[/tex]
Substitute 3 for x in f(x)
[tex]f(3) = 7 \times 3 + 2[/tex]
[tex]f(3) = 23[/tex]
Substitute 23 for x in f(x), for the next iteration
[tex]f(23) = 7 \times 23 + 2[/tex]
[tex]f(23) = 163[/tex]
Substitute 163 for x in f(x), for the next iteration
[tex]f(163) = 7 \times 163 + 2[/tex]
[tex]f(163) = 1143[/tex]
Substitute 1143 for x in f(x), for the next iteration
[tex]f(1143) = 7 \times 1143 +2[/tex]
[tex]f(1143) = 8003[/tex]
Hence, the first four iterates of the function f(x) are 23, 163, 1143 and 8003
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Hi! i need help with a question if anyone can answer it really quick please. "Which side lengths would NOT form a triangle?
{3, 4, 5}
{2, 5, 9}
{5, 10, 12}
{7, 9, 11}"
Answer:
{2, 5, 9}
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
A total of 544 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
Answer:
x=136
Step-by-step explanation:
So lets say x is the number of pencils so, the number of erasers = 544-x
The equation is then 3x = 544-x & x=136
Answer: 136 adult tickets
Step-by-step explanation: If you have 136 adult tickets then you have to multiply that by three in order to get the child tickets. 136 x 3 = 408 and 408 + 136 = 54
Help Plz
Use a net to find the surface area of the pyramid.
26 in. and 18 in.
Answer:
[tex]≈
1223.65 {in}^{2} [/tex]
Step-by-step explanation:
[tex]surface area of a pyramid\\ = lw + l( \sqrt{ \frac{w}{2} ) ^{2} + {h}^{2} + w } \sqrt{ (\frac{l}{2}) ^{2} + {h}^{2} } \\ =
20
·
20
+
20
· \sqrt{ {( \frac{20}{2} )}^{2} + {18}^{2} + 20} \times \sqrt{ { (\frac{20}{2}) }^{2} + {18}^{2} } \\ ≈
1223.65041
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A map has a scale of 1 cm = 5 km
On a map, a forest is shown as a rectangle measuring 2 cm by 1.5 cm
What is the real area of the forest?
4p+p+12
like terms
please help
sorry for asking for so much help
Answer:
The answer that I got is 5p+12
Answer:
5p+12
Step-by-step explanation:
What’s the answer??? Answer fast please
Answer:
300 cm2
Step-by-step explanation:
Volume = length x width x height
Answer:
Volume=300cm^3
Step-by-step explanation:
formula:
Volume=length x width x height
therefore, 5 x 4 x 15 = 300
If lim f(x) = 5, lim g(x) = 0, and lim h(x) = -2, then find lim [h(x)]^2 PLSE ANSWER ON A TIMER
Answer:
A
Step-by-step explanation:
The limit of the square is the square of the limit:
(-2)² = 4
[tex]\lim\limits_{x\to 4}{[h(x)]^2}=\left[\lim\limits_{x\to 4}{h(x)}\right]^2=(-2)^2=4[/tex]
Answer:
C on edge
Step-by-step explanation:
it is what it is
What is the most appropriate level of accuracy for measuring the height of a tree?
381 feet
4.
38.27 feet
38.268 feet
38% feet
Answer:
38.27 feet
Step-by-step explanation:
Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.15
P(B) = 0.35
P(C) = 0.55
What is the probability of the complement of Event B?
0.85
0.35
0.65
0.45
Answer:
0.35
Step-by-step explanation:
The probability of the complement of Event B is equal to 0.65. so option C is correct.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
Given;
Event A and Event B are mutually exclusive.
We have given data
P(A) = 0.15
P(B) = 0.35
P(C) = 0.55
We need to find the he probability of the complement of Event B.
The formula for the compliment of the event
P( B⁻ ) = 1 - P( B)
Use the given value in the above formula we have,
= 1 - 0.35
= 0.65
The probability of the complement of Event B is equal to 0.65. so option C is correct.
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n + 2 = -14 – n please help ik the ansewer i need the woorkkk
Answer:
n = -6
Step-by-step explanation:
n + 2 = -14 - n
2n + 2 = -14
2n = -12
n = -6
Answer:
Step-by-step explanation:
So in the case of "n" being any given variable, (basically saying it could be replaced by x, or any other variable) the answer would be,
n = -6
Work:
n + 2 = -14 - n
Cancel out the negative n on the right side by adding one n to both sides.
n + n = 2n
2n + 2 = -14
Get rid of the 2 on the left side, isolating the variable (2n)
2 + 14 = -12
2n = -12 is the final equation, and the last step is to divide both sides by 2, again isolating the variable.
Final answer is,
n = -6.
What is the probability of three quarters landing on tails if you know the first one has
landed on tails
Answer:
1/3 or One-Third
Step-by-step explanation:
If there are 3 coins, the denominator would be 3. You already know that 1 of the coins had landed on tails. 1/3 is the answer.
A bag has ten marbles in it. Three of them are green,one of them are is red, five of them is red, five of them are yellow, and one of them is blue. If one marble is taken out of the bag randomly, what is the probability that it will neither be green nor red
A. 0.60
B. 1.30
C. 0.30 or 0.10
D. 0.03
It is A because it is asking for which is NOT green or red and the majority is not green or red and is DEFINITELY not B.
Chase is conducting A survey at school to see what their favorite subject is. He surveyed of 25 students from his math class. He found that 75% of the students in math what is their favorite subject. Is this a valid inference? Why or why not? Explain your answer to complete sentences.
Answer:
Not a valid inference.
Step-by-step explanation:
This is not a valid inference. This is because there may be a slight bias from the classmates he is asking, because, as the question read, he is in math class. Asking math class students if they like math or english more, may have a swayed opinion.
Answer:
No
Step-by-step explanation:
This is a biased survey, due to the fact he only asked his classmates in math. For a unbiased survey, everyone must have an equal chance of being picked.
Someone please helpp me quick awarding brainliest
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
1/3(1650 + 0.15c) = 1650/3 + 0.15c/3) = 550 + 0.05c
Barney is an ecologist who studies the change in the tiger population of Siberia over time.
The relationship between the elapsed time t, in decades, since Barney started studying the population, and
the number of tigers, N(t), is modeled by the following function:
8
t
N(t) = 710•(8/125)^t
Complete the following sentence about the rate of change in the tiger population. Round your answer to two decimal places
two decimal places.
The tiger population loses 3/5 of its size every ______ decade.
Answer:
0.33 decades
Step-by-step explanation:
The tiger population loses 3/5 of its size every 0.333 decades.
What is an Exponential Function?An exponential function is what can be represented by the equation
y = aˣ
The number of tigers N(t) has been modeled by the equation
[tex]\rm N(t) = 710 * (\dfrac{8}{125})^t[/tex]
The tiger population loses 3/5th of its size in how much decade has to be found.
if it loses 3/5, the remaining will be 3/5 of the size so,
[tex]\rm \dfrac{2}{5} * 710 = 710 * (\dfrac{8}{125})^t\\\\\\dfrac{2}{5} = (\dfrac{8}{125})^t\\[/tex]
Taking log on both the sides
ln 2 - ln 5 = t( ln 8-ln 125)
t= 0.333
Therefore, the tiger population loses 3/5 of its size every 0.333 decades.
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If x + 3y = 7 and x - 3y =7 , then find y
Please help me
Answer:
[tex]x + 3y = 7 , x - 3y = 7 : y = , x = 7[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right][/tex]
Isolate [tex]x[/tex] for [tex]x + 3y = 7 : x = 7 - 3y[/tex]:
Substitute [tex]x = 7 - 3y[/tex]:
[tex]\begin{bmatrix}7-3y-3y=7\end{bmatrix}[/tex]
Isolate [tex]y[/tex] for [tex]7 - 3y - 3y = 7 : y = 0[/tex]:
For [tex]x[/tex] [tex]=7-3y[/tex]
Substitute [tex]y = 0[/tex]
[tex]x=7-3 * 0[/tex]
[tex]7 - 3 * 0 = 7[/tex]
[tex]x = 7[/tex]
The solution to the system of equations are:
[tex]y=0,\:x=7[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
ppppppplllllllllleeeeeeeeeaaaaaasssssssseeeeeee help!!!!!!!!!!!!!
a bored person wants to do something because she is bored. she made up this math problem. she doesn't know the answer to this.
if a car drives 5 miles to the gas station, then how many miles does it take to come back?
Answer:
5, or 10
Step-by-step explanation:
it takes 5 to get there, it will take 5 to get back.
OR 5 plus 5 equals 10, so 10
Boredom is strong in this one
Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5
Answer: The inverse of f(x) is not g(x).
Step-by-step explanation:
Steps taken:
Swap x and y variablesSolve for yProve that the equations of f'(x) and g(x) are identical.1.
[tex]f(x) = x + 10\\y = x + 10\\x = y + 10[/tex]
2.
[tex]x = y + 10\\y = x - 10[/tex]
The inverse of f(x) is x - 10, which does not match with g(x).
Indicate the number of solutions of each equation.
No Solutions
Exactly One Solution
Infinite Solutions
16a +1 = 11(a - 4)
Answer:
Exactly One Solution.
Step-by-step explanation:
16a +1 = 11(a - 4)
16a + 1 = 11a - 44
16a - 11a = -44 - 1
5a = -45
a = -9.
Sam opened a money-market account that pays 5% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $700 in interest. How long did he keep his account open?
A.
2 years
B.
5 years
C.
4 years
Answer:
2 years
Step-by-step explanation:
5 x 7000/1000 = 350
350 x 2 = 700
7000 + 700 = 7,700
Therefore, he kept his account open for 2 years gaining 350 dollars in interest per year.
I'm honestly confused help
What ordered pair is the solution to this system of equations
y = 5
x + y = -1
Answer:
(-6, 5)
Step-by-step explanation:
-6 + 5 = -1
x = -6
y = 5
Talon Middle School received 219 prize packs. The school gave away f packs during school fundraisers. There were 42 packs passed out during pep rallies throughout the year. At the end of the year, the school had 54 prize packs left. How many packs were passed out during the fundraiser?
Answer:
123
Step-by-step explanation:
219 - 42 = 177 left
177 - f = 54
f = 177 - 54
f = 123 packs were passed out during the fundraiser
123
Step-by-step explanation:
219-42=177
177-54=123 or (f)
Check your work:
219-42=177
177-123=54
Therefore f=123 or 123 packs were passed out during the fundraiser.
Hope this helps! If you have any more questions or need further clarification on anything please feel free to comment down below or message me! Good luck!
i need help hurry please
Answer:
b
Step-by-step explanation:
For this question the answer will be b
Hope this helps and hope u pass test
What is the wavelength of a 320 Hz sound traveling 330 m/s?
Answer:1.03125 meter
Step-by-step explanation:
Velocity =330 meter per second
Frequency =320 Hertz
wavelength=velocity ➗ frequency
Wavelength=330 ➗ 320
Wavelength=1.03125 meter
Answer:
1.03 meters
Step-by-step explanation:
Answer:1.03 meters
Step-by-step explanation:
Solving for wavelength
wavelength formula--->wavelength= velocity / frequency
velocity= 330 m/s
frequency= 320 Hz
Wavelength=330 / 320
330/320=1.03125
rounded up to 1.03
Wavelength=1.03125 meters or 1.03
An icicle drips at a rate that can be represented by the function f(x)= - x^2 + 11x - 18, where 0 < x < 10 and x is the number of hours after the sun has risen. When f(x) is a negative number the icicle is not dripping. Determine the values when the icicle starts and stops dripping.
A.) x = 2 and x = 9
B.) x = -2 and x = 9
C.) x = 2 and x = -9
D.) x = -2 and x = -9
Step-by-step explanation:
B.) x = -2 and x = 9
..............
Please help i will give brainliest, thanks and more points
THESE QUESTIONS ARE FOR THE SHAPE IN THE PICTURE!
1) how many bases does it have
2) what is the figure called
Answer:
its called triangular pyramid
and it has one base
Step-by-step explanation:
Given a = -3,b= 4 and e=-5, evaluate a+b+c
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
a = -3,b= 4 and e=-5,
a+b+c
-3+4+-5
1 +-5
-4
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"? a translation to the right a reflection across line m a 90° rotation about point G a 180° rotation about point G
Answer:
a reflection across line m answer is b
Step-by-step explanation:
A reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K". Option B is correct.
The final transformation is to determine that transition states have been shown in the image that describes how pre-image GHJK transformed to image G'H"J"K".
Reflection is defined in an atmosphere as when the beam of light or wave strikes to the plane or curved surface deviates back from the atmosphere.
Steps of Transformation
Pre-image GHJK first rotates anticlockwise by an angle of 90° to G'H'J'K'.
Then G'H'J'K' reflected across the line m to G'H"J"K". It is the final transition state.
Thus, a reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K".
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A cylinder with a radius of 3 cm and a height of 7 cm is inside of a sphere with a radius of 12 cm. How much space is inside the sphere, but outside the cylinder?
A. 1665π cm 3
B. 1728π cm 3
C. 2241π cm 3
D. 2304π cm3
Answer:
C
Step-by-step explanation:
i may be wrong sorry
If limit as x approaches a of f of x equals two and limit as x approaches a of g of x equals four, then limit as x approaches a of the quantity three times f of x squared minus four times g of x equals negative four.
TRUE
FALSE