The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function
The amplitude of the function is 1The period of the function is [tex]\pi[/tex]How to determine the amplitude?The equation of the sine function is given as:
[tex]f(t) = \sin(2t)[/tex]
A sine function is represented as:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where
A represents the amplitude
By comparison;
A = 1
Hence, the amplitude of the function is 1
How to determine the period?In (a), we have:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where the period is:
[tex]T = \frac {2\pi}B[/tex]
By comparison;
B = 2
So, we have:
[tex]T = \frac {2\pi}2[/tex]
[tex]T = \pi[/tex]
Hence, the period of the function is [tex]\pi[/tex]
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Answer:
A on edge
Step-by-step explanation:
Carl wrote three numbers beetween 0.48 and 0.49, what numbers could carl have written
Answer:
0.481, 0.487653287..,. and 0.48953
Step-by-step explanation:
There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953
Joe deposited $2500 into a savings account earning 4% compounded monthly. If he makes no other deposits or withdrawal, how much will he have in the account in three years?
Answer:
2500=100
**. =4
2500×4/100=100
100×12 because 1 year have 12 months
then 3×1200=3600
[tex]~~~~~~ \textit{Compound Interest Earned Amount}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{12}\right)^{12\cdot 3}\implies A=2500\left( \frac{301}{300} \right)^{36}\implies A\approx 2818.18[/tex]
NET OF TOY BOX
13
14
9
What is the surface area, in square feet, of the toy box?
Answer: A =
ft?
Submit Answer
wento
Solution:
We know that:
[tex]L = 13 \ feet[/tex][tex]B = 14 \ feet[/tex][tex]H = 9 \ feet[/tex][tex]Surface \ area = 2LB + 2BH + 2LH[/tex]
Step-1: Substitute the length, breadth, and height.
[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]Step-2: Find the surface area.
=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]=> [tex]Surface \ area = 364 + 252 + 234[/tex]=> [tex]\bold{Surface \ area = 850\ feet^{2}}[/tex][tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]
[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]
[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]
PLEASE SOLVE QUESTION 13 AND 14
DONT STEAL THE POINTS
Answer:
See below for solution.
Step-by-step explanation:
[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]
LHS :-
= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]
= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]
= [tex]\frac{16-2\sqrt{55} }{6}[/tex]
= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]
= [tex]\frac{8-\sqrt{55} }{3}[/tex]
=> x = 8/3 and y = 1/3
=> Option B
[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]
= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])
= 4 x 36 + 64 + 2 x 3
= 144 + 64 +6
= 144 + 70
= 214
When a hammer falls from a work bench, __________.
a
the kinetic energy of the hammer increases, while the potential energy increases
b
the kinetic energy of the hammer decreases while its potential energy increases
c
The kinetic energy of the hammer increases while the potential energy decreases
d
the kinetic energy of the hammer decreases, while it's potential energy decreases
Answer:
b
Step-by-step explanation:
so u have to read careful
Does anyone got the answer to this?
Answer:
Step-by-step explanation:
Givens
C = 2*pi*r
C = pi*d
C = 125.6
r = d/2
Solution
C = pi *d
125.6 = 3.14 * d Divide both sides by 3.14
125.6/3.14 = d
d = 40
You can use 1 of 2 methods to get the radius
The easiest one is use
r = d/2
r = 40/2
r = 20
A teacher asked 23 students to close their eyes, then raise their hand up when they thought 60 seconds had elapsed. The results, in seconds, are shown below. 61 65 73 80 35 56 57 71 52 86 39 58 55 67 63 66 83 70 51 54 66 64 41 Which type of display— a stem-and-leaf plot or a line graph— is the most appropriate way to display this data? I need help ASAP
Answer:
Stem and leaf plot.
Step-by-step explanation:
The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.
Sorry that the photo is sideways.
Answer: Answer C and D
Equations:
A. 4+4+4+4 | 16 = 4 | 1+1+1+1
B. 4+4+4+4 | 16 = 1
C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1
D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1
Mark as brainliest if this helps! :)
A data set is given as follows:
Please give the best fit using the least squares with the following functions
(1) y = ax + b;
(2) y = ax + b;
and draw their respective graphs.
(Probability and Statistics)
Entering the values obtained from the data in the table based on the
given functions of y = a·x + b, and y = a·|x| + b, we have;
(1) y = -0.0614·x + 1.58772
(2) y = 0.3824·x + 0.91168
How can the best fit lines be obtained?The least squares regression formula is presented as follows;
[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
(1) From the data in the table, and by using MS Excel, we have;
[tex]\overline x[/tex] = -0.2
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8
Which gives;
[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]
1.6 ≈ b - 0.0614 × (-0.2)
b = 1.6 - 0.0614 × (0.2) = 1.58772
The equation of best fit for the function, y = a·x + b, is therefore;
y = -0.0614·x + 1.58772(2) For the function, y = a·|x| + b, we have;
[tex]\overline x[/tex] = 1.8
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8
Which gives;
[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]
1.6 ≈ b + 0.3824 × (1.8)
b = 1.6 - 0.3824 × (1.8) = 0.91168
The equation of best fit for the function, y = a·|x| + b, is therefore;
y = 0.3824·x + 0.91168Learn more about the least squares regression line here:
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Can you answer this one please
first process is used in this expression
What is the missing base of 16=____ to the power of 4?
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. Explain the meaning of the following statement.
f (10) = 110.3
Answer:
10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.
Step-by-step explanation:
t= 10 years after 1990.
We are given that f(t) is # of people in millions who own cell phones.
f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. To explain the meaning of the following statement, f (10) = 110.3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.
f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.
Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
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Three consecutive integers have a sum of 72. Find the integers.
Answer:
Step-by-step explanation:
x is smallest integer
x + (x + 1) + (x + 2) = 72
3x + 3 = 72
3x = 69
x = 23.
This means that the integers are 23, 24, and 25.
find the x and y intercept of the graph of -9x+3y=12
Step-by-step explanation:
by graph method
x = -b/2a
b = 3, a = -9
x = -3/-18
x = 1/6
back to the equation to substitute
-9x + 3y = 12
-9(1/6) + 3y = 12
- 3/2 + 3y = 12
-3 + 6y = 24
6y = 27
y = 9/2
x = 1/6, y = 9/2
paint store sells 4 pt of paint for $19.
Find the value of x and y.
2. Approximately 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison. Let X be the number of children that have an incarcerated parent from a random sample of 100 children. (a) Verify that this is a binomial setting by identifying the four criteria in this problem. (b) Describe what P(X = 0) means in context. (c) Find P(X = 0) and P(X = 1). *
Answer:
2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.
Find the surface area of a cube with edges 6.57 cm long.
sq cm.
The surface area of the cube is
(Type an integer or a decimal.)
Answer:
258.9894 is the total surface area
A circle has a diameter of 10 yd. What is its circumference?
Answer:
The circumference of the circle is 31.4 yd.
Step-by-step explanation:
From the question,
We are to determine the circumference of a circle whose diameter is 10 yd.
The formula for calculating the circumference of a circle in terms of diameter is given as
C = πd
Where C is the circumference
and d is the diameter
From the given information
d = 10 yd
and π = 3.14
Putting the parameters into the formula
We get,
C = 3.14 × 10
∴ C = 31.4 yd
Hence, the circumference of the circle is 31.4 yd.
On the drawing for a house plan, the master bedroom is rectangular and has dimensions of 2.25 inches by 2.5 inches. If the scale of the drawing is 1/8 inch = 1 foot, what is the actual area of the master bedroom? Make sure to label your answer.
Calculate each of the following parts of parts. Be sure to show your work.
Step-by-step explanation:
please mark me as brainlist please
Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answer:
D
Step-by-step explanation:
5. Find the length of the missing side. If necessary, round to the nearest tenth. 38, 34 on a triangle.
Answer:
for your I'm pretty sure that it's 34
Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
the result in standard form.
Answer:
x^3+19x^2+119x+245
Step-by-step explanation:
The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Given that f(x) = x² + 12x + 35 and g(x) = x + 7
As per the question,
⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)
⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)
Solve the above quadratic equation, and we get
⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)
⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)
⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)
⇒ (f:g)(x) = (x + 5)
Therefore, the required value of function (f:g)(x) would be (x + 5).
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fkfjfnfhfidhdhdud my ruebrddbdd by djdudn
James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯ is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯?
Answer:
i dont know can someone help me out im dying over here
L need help with this pls
Answer:
75
Step-by-step explanation:
The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)
Evaluate each expression if c = 3 and d = 7.
Part A) 6c+4−3d
Part B) 4(d−c)2+1
Part C) d2+5d−6
Answer:
Here you go! I hope this helps
a) (6(3))+4-(3(7))
answer: 1
b) 4(7-3)2+1 =
answer: 33
c) 7^2+5(3)−6
answer: 58
Classify the following triangle as acute, obtuse, or right.
60°
60
609
A. Right
B. Obtuse
C. Acute
D. None of these
Answer:The answer Is C
Step-by-step explanation:
Acute
The triangle is shown an Acute triangle.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Angles are,
60°
60°
60°
Clearly, All angles are less than 90 degree.
Hence, The triangle is shown an Acute triangle.
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List 3 rational numbers between -2 and -1. Find the product of smallest & greatest rational among them