Answers
Answer:
256, 1024, 4096
Step-by-step explanation:
Here, we can see that each term can be represented by \(2^{2n}\) where n starts at 0. We can then plug in n=4, 5, and 6 for the next three terms respectively to get the answer above.
Related Questions
Please help, 10 points.
How does the graph of f(x)=cos(x-30-2 compare to the graph of g(x)=cos x?
Answers
The length of f(x) = cos(x-30) - 2 will be longer than that of g(x) .
Given that ;
f(x) = cos(x-30) - 2
g(x) = cos(x)
What are some properties of a cosine function?Suppose that we've got:
f(x) = a cos (bx - c) + d
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = a
Period = \(\dfrac{2\pi}{b}\)
Phase shift = \(\dfrac{c}{b}\)
Maximum value: a + d
Minimum value: -a + d
Since the period for a cosine function is 2π/k
In the equation the k is located before the variable.
In g(x) we have cos (x - 30) -2
Therefore the period is 2π/1 or 2π. This means the length of one full period of cosine will go from 0 to 2π.
In f(x) we have the period is 2π/ (1/2) which is the same as 2π * 2 or 4π.
This means the period for the function is 4π and the length of one full period of the cosine graph will go from 0 to 4π.
Hence The length of f(x) = cos(x-30) - 2 will be longer than that of g(x) .
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Please help if you can thank you
Answers
Answer:
the answer can be anything close to that your welcome. if you need help text me but first try by your self
Find the absolute maximum and absolute minimum of the function f(x) = -3 sin? (x) over the interval (0,5). Enter an exact answer. If there is more than one value of at in the interval at which the maximum or minimum occurs, you should use a comma to separate them. Provide your answer below: • Absolute maximum of atx= • Absolute minimum of at x =
Answers
The absolute maximum of f(x) = -3 sin(x) over the interval (0, 5) occurs at x = 5, and the absolute minimum occurs at x = 0.
to find the absolute maximum and minimum of the function f(x) = -3 sin(x) over the interval (0, 5), we need to evaluate the function at its critical points and endpoints.
1. critical points:to find the critical points, we take the derivative of f(x) and set it equal to zero:
f'(x) = -3 cos(x) = 0
cos(x) = 0
the solutions to cos(x) = 0 are x = π/2 and x = 3π/2.
2. endpoints:
we also need to evaluate the function at the endpoints of the interval, which are x = 0 and x = 5.
now, we evaluate the function at these points:
f(0) = -3 sin(0) = 0f(5) = -3 sin(5)
to determine the absolute maximum and minimum, we compare the function values at the critical points and endpoints:
-3 sin(0) = 0 (minimum at x = 0)
-3 sin(5) ≈ -2.727 (maximum at x = 5)
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What is 10,000,000,000 in standard form?
Answers
Answer:
10 billion
Step-by-step explanation:
What is the area of the shaded segment shown below? Leave your answer in terms of 3.14
Answers
Answer:
A. (49\(\pi\) - 98)ft^2
Step-by-step explanation:
90/360 * \(\pi\) * 14^2
=49\(\pi\)
49\(\pi\) * 2
=98
(49\(\pi\) - 98)ft^2
Which statement is best supported by the information in the box plots?
Answers
Answer: A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Period of y = negative 2 sin x
Answers
It has a period of 2pi
the equation to find the period of a sin/cos function is
\(period = \frac{2\pi}{b} \)
y = -2 sin(x) has a normal period of 2pi because the b value in this equation isn't stated, making it equal to 1
the basic equation for a sin function is
\(y = a \: \sin(b(x - c) ) + d\)
The graph of the function f(x) = (x – 4)(x + 1) is shown below. Which statement about the function is true?
Answers
The correct statement regarding the quadratic function f(x) = (x - 4)(x + 1) is given by:
It is increasing for x < -1 and x > 4.
When a quadratic function is increasing and when it is decreasing?Considering a concave up quadratic function, with positive leading coefficient, we have that:
It is increasing to the left of the lower root and to the right of the upper root.It is decreasing between the roots.In this problem, the function is given by:
f(x) = (x - 4)(x + 1).
The roots are:
x - 4 = 0 -> x = 4.x + 1 = 0 -> x = -1.Hence the correct statement is:
It is increasing for x < -1 and x > 4.
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9x+12=24 i feel like i know the answer but im just a bit confused
Answers
Answer: x = 4/3 or x = 1.3 or x = 1 1/3
Step-by-step explanation: you have to move everything that does Not have A Variable to the right and solve the equation
9x + 12 = 24
9x = 24 - 12
= 12
x = 12/9
I am confused too. This is the best I can do :(
Evaluate the expression for k = 17.
3k =
Answers
what is the domain of the function
Answers
Answer:
(a) -∞ < x < ∞
Step-by-step explanation:
Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.
-∞ < x < ∞
How do you solve #20-22?
Answers
By using properties of congruency of triangles, it can be calculated that
20) x = 2
AB = 5 \(\times\) 2 - 3 = 7
AD = 3 \(\times\) 2 + 1 = 7
21) x = 5
\(\angle DEG\) = 5 \(\times\) 5 + 20 = 45
\(\angle FEG\) = 9 \(\times\) 5 = 45
\(\angle\)DEF = 45 + 45 = 90
22) x = 6
\(\angle BAC\) = 3 \(\times\) 6 + 12 = 30
\(\angle DAC\) = 5 \(\times\) 6 = 30
\(\angle BAD = 30 + 30 = 60\)
What is congruency of triangles?
Two triangles are said to be congruent if the corrosponding sides and corrosponding angles are equal.
There are five axioms of congruency. They are
AAS axiom, SAS axiom, ASA axiom, RHS axiom, SSS axiom
20)
In \(\Delta ABC\) and \(\Delta ADC\)
\(\angle B = \angle D\) [90°]
AC is common
\(\angle BCA = \angle DCA\) [given]
So,\(\Delta ABC \cong \Delta ADC\) [AAS axiom]
AB = AD [Corrosponding parts of congruent triangles are congruent]
5x - 3 = 3x + 1
5x - 3x = 3 + 1
2x = 4
x = \(\frac{4}{2}\)
x = 2
AB = 5 \(\times\) 2 - 3 = 7
AD = 3 \(\times\) 2 + 1 = 7
21)
In \(\Delta EDG\) and \(\Delta EFG\)
\(\angle DGE = \angle FGE\) [Given]
GE is common
\(\angle DEG = \angle FEG\) [Given]
So,\(\Delta EDG \cong \Delta EFG\) [ASA axiom]
5x + 20 = 9x
9x - 5x = 20
4x = 20
x = \(\frac{20}{4}\)
x = 5
\(\angle DEG\) = 5 \(\times\) 5 + 20 = 45
\(\angle FEG\) = 9 \(\times\) 5 = 45
\(\angle\)DEF = 45 + 45 = 90
22)
In \(\Delta ABC\) and \(\Delta ADC\)
\(\angle B = \angle D\) [90°]
AC is common
\(\angle BAC = \angle DAC\) [given]
So,\(\Delta ABC \cong \Delta ADC\) [AAS axiom]
3x + 12 = 5x
5x - 3x = 12
2x = 12
x = \(\frac{12}{2}\)
x = 6
\(\angle BAC\) = 3 \(\times\) 6 + 12 = 30
\(\angle DAC\) = 5 \(\times\) 6 = 30
\(\angle BAD = 30 + 30 = 60\).
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Find the perimeter of the shaded figure. PLS ASAP
Answers
Answer:
54
Step-by-step explanation:
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?
Answers
Answer:
= $88.7429
Step-by-step explanation:
Regular price: $124.99
Total off: $124.99 x 20% + 15% = 43.7465%
Tax: $124.99 x 6% = 7.4994
So he should pay: 124.99 - 43.7465 +7.4994
The total cost of her meal would be amount of $88.74.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.
As per the given information, the required solution would be as
Regular price of dinner = $124.99
Total off = $124.99 × 20% + 15% = 43.7465%
Total tax = $124.99 × 6% = 7.4994
The total cost of her meal = Regular price of dinner - Total off + Total tax
The total cost of her meal = 124.99 - 43.7465 +7.4994
Apply the arithmetic operation to get the cost
The total cost of her meal = 88.74
Therefore, the total cost of her meal would be amount of $88.74.
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Three friends are traveling to school. let x represent the number of minutes traveled and y represent the distance from the school in miles for each representation
Answers
7)
Answer:
Explanation:
a) To determine who lives closest to the school, we would find the distance of each person when the time is zero
For Freddie, the equation representing his distance travelled with respect t time is
y = - 0.8x + 8
where
y represents the distance
x represents the time
When x = 0,
y = - 0.8 * 0 + 8
y = 8
This means that Freddie lives 8 miles from the school
For Christian,
From the table, when x = 0, y = 0.5
This means that Christian lives 0.5 miles from the school
For Trevor,
From the graph, when x = 0, y is 6
This means that Trevor lives 6 miles from the school
Thus,
Christian lives closest to the school
b) To determine who is travelling the fastest, we would calculate the slope of each function.
For Freddie, the equation is
y = - 0.8x + 8
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
By comparing both equations, slope = - 8
This means that Freddie's speed was decreasing by 8 miles per minute
For Christian, we would calculate the slope by applying the formula,
slope = (y2 - y1)/(x2 - x1)
From the table,
x1 = 0, y1 = 0.5
x2 = 2, y2 = 0.4
slope = (0.4 - 0.5)/2 - 0 = - 0.1/2 = - 0.05
This means that Christian's speed was decreasing by 0.05 miles per minute
For Trevor,
From the graph,
when x1 = 0, y1 = 6
when x2 = 3, y2 = 4
slope = (4 - 6)/(3 - 0) = - 2/3 = - 0.67
This means that Trevor's speed was decreasing by 0.67 miles per minute
Thus, person travelling the fastest is
what is the correct decision in a hypothesis if the data produce a t-statistic that is in the critical region?
Answers
The correct decision in a hypothesis test when the data produces a t-statistic that is in the critical region is to reject the null hypothesis.
This is because a t-statics in the critical region indicates that the differences between the sample mean and the population mean are statistically significant. This means that the data indicates that the null hypothesis is wrong and that the alternative hypothesis is true. In a hypothesis test, the null hypothesis is what the researcher is trying to disprove. It is the general statement that suggests that there is no difference between the sample mean and the population mean. The alternative hypothesis is what the researcher is attempting to prove. It suggests that there is a difference between the sample mean and the population mean. Therefore, when the data produces a t-statistic that is in the critical region, it indicates that the alternative hypothesis is true. When a t-statistic is in the critical region, it means that the result is statistically significant. This means that the differences between the sample mean and the population mean are unlikely to have occurred by chance and that the alternative hypothesis is likely to be true. Therefore, when the data produces a t-statistic that is in the critical region, the correct decision is to reject the null hypothesis and accept the alternative hypothesis.
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determine whether the statement is true or false. if lim n → [infinity] an = 0, then an is convergent. true false
Answers
The statement is false. Just because the limit of a sequence approaches zero as n tends to infinity does not guarantee that the sequence itself is convergent.
The statement is false because the convergence of a sequence depends on more than just the limit. A sequence is considered convergent if it approaches a specific value as n tends to infinity. If the limit of a sequence as n approaches infinity is zero, it indicates that the terms of the sequence are getting closer to zero, but it does not necessarily mean that the sequence has a specific value to which it converges.
For example, consider the sequence {1/n}. As n approaches infinity, the limit of this sequence is indeed 0. However, the terms of the sequence do not converge to a specific value but instead approach zero as n grows larger. Therefore, the statement that if the limit approaches zero, then the sequence is convergent is false.
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compute the derivative of your cost function in problem 9. the derivative function will contain one or more of the letters x, n, p, b, c
Answers
The derivative of the cost function with respect to the production quantity is given by the expression dC/dx = np + c/x^2, where x, n, p, b, and c are constants is the answer.
The derivative of the cost function in problem 9 is a function that expresses the rate of change of the cost function with respect to a unit change in the production quantity.
Suppose that the cost function for producing x units of a product is given by the formula: C(x) = npx + b + c/x
Where n is the number of items produced in a batch, p is the cost per item, b is the fixed cost, and c is the variable cost.
Using the power rule of differentiation, we can differentiate the cost function term by term as follows: dC/dx = d/dx(npx) + d/dx(b) + d/dx(c/x)= np(d/dx(x)) + 0 - c(d/dx(1/x^1))= np + c/x^2
Therefore, the derivative of the cost function with respect to the production quantity is given by the expression dC/dx = np + c/x^2, where x, n, p, b, and c are constants.
The derivative function contains the letters x, n, p, b, and c.
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10.507140429 nearest hundredth
Answers
Answer:
10.51
Always look to the right of the place you are rounding
so...
if you look at 10.507140429
the 0 after 5 is in the hundredths place
look to the right of 0 and you'll see a 7.
If the number to the right of the place you are supposed to round to is:
5 or greater - round up
less than 5 - round down
Hope this helped
Using a local telephone book to select a simple random sample could introduce _____ bias.
Answers
Answer:
Undercoverage
Step-by-step explanation:
Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.
I hope it helps! Have a great day!
Fully factor the function
\(f(x)=-x^4+4x^3+3x^2-10x-8\)
Answers
Answer:
(x+1)^2 (x-4) (x-2)
Step-by-step explanation:
Basically a lot of synthetic divison.
Please Help ASAP no links
Answers
Answer:
.
Step-by-step explanam m, mntion:
.
i’m doing my geometry homework with the equation 1/2h(b1+b2) but i can’t figure this one out. please help
Answers
Answer:
Step-by-step explanation:
to find the bottom base you add the two numbers that make it
5+18=23
now put everything in the formula
\(\frac{1}{2}*12(12+23)\\\)
parathesis first
12+23=35
\(\frac{1}{2} *12*35\)
multiply in order
6*35
210
Step-by-step explanation:
i’m doing my geometry homework with the equation 1/2h(b1+b2) but i can’t figure this one out. please help
1/2h (b1 + b2) is the formula for finding the area of the figure (trapezoid)
1/2 * 12 (18 + 5 + 12)=
6 * 35=
210 units²
Michelle's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 48 sodas in all, 25% of which were regular. How many regular sodas did the diner serve?
Answers
The number of regular sodas served is 12.
How many regular sodas was served?Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.
Number of regular sodas served = percentage of regular sodas served x number of sodas served
= 25% x 48
= 25/100 x 48 = 12
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I need this answered please
Answers
Answer: (8w) - 6 = 7
Step-by-step explanation:
To write an equation, we will look at the phrase given.
Six less than ➜ - 6
the product of ➜ multiplication
is equal to 7 ➜ = 7
Six less than the product of 8 and a number is equal to 7.
(8w) - 6 = 7
8w - 6 = 7
Ms.Phillips wrote a test. part A had true/false questions, each worth 6points. B had mutilple choice questions, each worth 8 points. she made the number of a points for a part A equal the number of points for B. it was the least number of points for which this was possible. 1] how many points was each part worth 2] how many questions did part A have 3]how many questions did part B have
please help
Answers
Answer: ( . = multiplication sign)
1. 24
2. 4 questions
3. 3 questions
Step-by-step explanation:
1. You first need to find how many points each part was worth. To do this, you need to find the lowest common multiple for 6 and 8. The lowest common multiple is 24.
2. Part A has questions that were each worth 6 points so, you need to find the value of X in this equation: X . 6 = 24 .
The value of X is 4.
3. Part B had questions that were 8 points each so you need to find the value of X in this equation: X . 8 = 24 .
X = 3
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
g(x) = −6(one-third) Superscript x
g(x) = −6(one-third) Superscript negative x
g(x) = 6(3)x
g(x) = 6(3)−x
Answers
The function g(x) is g(x) = 6(1/3)^-x
How to determine the function g(x)From the question, we have the following parameters that can be used in our computation:
f(x) = 6(one-third) Superscript x
Rewrite as
f(x) = 6(1/3)^x
The transformation rule is given as
Reflection across the y-axis
This is represented as
g(x) = f(-x)
So, we have
g(x) = 6(1/3)^-x
Hence, the function is g(x) = 6(1/3)^-x
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Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
Answers
area of triangle formula=1/2*base*height
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate
B. Linear, because the graph of the points makes a line
C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four
D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16
Answers
Answer:
D.
Step-by-step explanation:
Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,
2.5 * 16 = 40
40 * 16 = 640
640 * 16 = 10,240
Meaning that the values have a common ratio of 16, and are increasing exponentially.
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
Answers
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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