Answers
Answer:
The correct choice is B.
Step-by-step explanation:
The given function is
[tex]f(t)=-\frac{1}{3}\sin (4t-3\pi)[/tex]
The given function is of the form;
[tex]y=A\sin(Bt-C)[/tex]
where
[tex]|A|=|-\frac{1}{3}| =\frac{1}{3}[/tex] is the amplitude.
The period is calculated using the formula;
[tex]T=\frac{2\pi}{|B|}=\frac{2\pi}{|4|}=\frac{\pi}{2}[/tex]
The phase shift is given by;
[tex]\frac{C}{B}=\frac{-3\pi}{4}[/tex]
The correct choice is B
Related Questions
For a normally distributed random variable x with m = 75 and s = 4, find the probability that 69 < x < 79 Use the table to help find the answer.
Answers
10-14-19-12-14-18-10-15-15
Help please! (See image.)
Answers
FED is 5/4 times bigger than CBA. So, 44×1.25 is 55. 40×1.25 is 50. The perimeter is 125
Identify the factors of 4x2 + 12x + 9
(4x − 3)(x − 3)
(4x + 3)(x + 3)
(2x − 3)(2x − 3)
(2x + 3)(2x + 3)
Answers
Answer:
(2x+3)(2x+3)
Step-by-step explanation:
a^2+2ab+b^2
Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 6.
a)x squared divided by 81 plus y squared divided by 9 = 1
b)x squared divided by 9 plus y squared divided by 3 = 1
c)x squared divided by 9 plus y squared divided by 81 = 1
d)x squared divided by 3 plus y squared divided by 9 = 1
Answers
C seem reasonable to me
The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature
Answers
Answer:
The same number was not added to both sides.
Step-by-step explanation:
The same number was not added to both sides.
In line 2, 6 was added to the left side and 78 was added to the right side.
The best that describes the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved as shown below.
t - 6 = 78
t - 6 + 6 = 78 + 6
t = 84
Now, if we compare it with the given equation, we can find that the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
Hence, the best that describes the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
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If the walls are 9' high, how much paint would I need to buy to paint the walls of all three bedrooms?
Answers
Answer:
The required paint for a total of [tex]1.404\ ft^{2}[/tex] is approximate 6 gallons
Step-by-step explanation:
we know that
To find how much paint would I need to buy to paint the walls of all three bedrooms, calculate the area of all three bedrooms
Master Bedroom
The area is equal to
[tex]A1=(16+16+12+2+18)*9=576\ ft^{2}[/tex]
2 Bedroom
The area is equal to
[tex]A2=(12+14+10+10)*9=414\ ft^{2}[/tex]
3 Bedroom
The area is equal to
[tex]A3=(10+10+14+10+2)*9=414\ ft^{2}[/tex]
The total area is equal to
A=A1+A2+A3
[tex]A=576+414+414=1.404\ ft^{2}[/tex]
Approximate one gallon of paint covers 250 square feet
so
[tex]1.404/250=5.6\ gal[/tex]
The manager of cups R' Us handed out 125 coupons to his customers on Monday, c coupons on Tuesday, and 220 coupons on the Wednesday. Write an expression for the total number of coupons the manager handed out. Then simplify the expression.
Answers
Answer:125+220+c
if c= 20 then it would be 125+220+20=365
Step-by-step explanation:
Translate the phrase into an algebraic expression
the sum of x and 6
Answers
Answer:
x + 6 =
Step-by-step explanation:
In math sum means addition, difference is subtraction, product is multiplication, and quotient is division
ANSWER
x+6
EXPLANATION
An algebraic expression contains letters and numbers that are connected with mathematical operators or symbols.
The sum of x and 6 as an algebraic up expression is:
x+6
This expression contains a variable , a mathematical symbol and a number.
If g=27 and F=54° find h. Round to the nearest tenth
(picture provided)
Answers
For this case we have to:
[tex]cos (F) = \frac {h} {27}[/tex]
That is, the cosine of the angle F, will be equal to the adjacent leg on the hypotenuse.
So, by clearing h we have:
[tex]h = 27 * cos (54)\\h = 27 * 0.58778525\\h = 15.87020175[/tex]
Rounding out the value of h we have:
[tex]h = 15.9[/tex]
Answer:
Option B
Answer:
The correct answer is option b. 15.9
Step-by-step explanation:
Points to remember:-
Trigonometric ratio
Cos θ = adjacent side/Hypotenuse
From the figure we can see a right triangle triangle FGH.
To find the value of h
It is given that, g=27 and F=54°
Cos F = adjacent side/Hypotenuse
Cos 54 = adjacent side/Hypotenuse
= FG/FH = h/g
h = g * Cos F = 27 * Cos 54 = 27 * 0.5878 = 15.87 ≈ 15.9
Therefore the correct answer is option b. 15.9
A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 contains 1 red and 4 yellow marbles. 66) referring to urns we enter the room and select an urn, but we are not sure which, and then we randomly remove a marble from the urn. find the probability that the marble is red.
Answers
Answer:
[tex]\dfrac{11}{30}[/tex]
Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is [tex]\dfrac{3}{5}=0.6.[/tex]
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is [tex]\dfrac{3}{10}=0.3.[/tex]
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is [tex]\dfrac{1}{5}=0.2.[/tex]
The probability to choose each urn is the same and is equal to [tex]\frac{1}{3}.[/tex]
Thus, the probability that the marble is red is
[tex]\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.[/tex]
Use substitution to solve the system of equations x= -3y-13 2x+2y=-6
Answers
For this case we have a system of two equations with two unknowns:
[tex]x = -3y-13\\2x + 2y = -6[/tex]
To solve we follow the steps below:
We substitute the first equation in the second:
[tex]2 (-3y-13) + 2y = -6[/tex]
We apply distributive property to the terms of parentheses:
[tex]-6y-26 + 2y = -6[/tex]
We add 26 to both sides of the equation:
[tex]-6y + 2y = -6 + 26\\-4y = 20\\y = \frac {20} {- 4}\\y = -5[/tex]
We find the value of x:
[tex]x = -3 (-5) -13\\x = 15-13\\x = 2[/tex]
Answer:
[tex](x, y) :( 2, -5)[/tex]
Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular? Select all correct answers.
[tex]||u+v||=||u||+||v||\\||u+v||=\sqrt{||u||^2+||v||^2}\\||u+v||\ \textless \ \sqrt{||u||^2+||v||^2}\\||u+v||\ \textless \ ||u||+||v||[/tex]
Answers
Answer:
the correct answers are marked in green below
Step-by-step explanation:
As with any right triangle, the length of the hypotenuse is equal to the root of the sum of the squares of the legs. That root is less than the sum of the leg lengths and greater than the longest leg (for non-zero leg lengths).
_____
Comment on the choices
The relationship is actually ...
║u+v║ ≤ ║u║ + ║v║
That makes the first selection possibly correct. It will only be correct if ║u║ or ║v║ is zero. The problem statement does not rule out that case.
Answer:
As with any right triangle, the length of the hypotenuse is equal to the root of the sum of the squares of the legs. That root is less than the sum of the leg lengths and greater than the longest leg (for non-zero leg lengths).
_____
Comment on the choices
The relationship is actually ...
║u+v║ ≤ ║u║ + ║v║
That makes the first selection possibly correct. It will only be correct if ║u║ or ║v║ is zero. The problem statement does not rule out that case.
Step-by-step explanation:
A television manufacturer decides to increase its production by 25% per month to meet increasing customer demand. The company currently produces 2,000 television sets a month.
Which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?
Answers
Answer:
The last graph
Step-by-step explanation:
The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.
We can consider the number of television sets currently produced by the company to be our Principal amount;
P = 2000
The rate of increase in production per month can be considered as our interest rate earned;
r = 25% = 0.25
The total number of television sets y will be our Accumulated amount;
A = y
The duration x becomes our time n.
The compound interest formula is given as;
[tex]A=P(1+r)^{n}[/tex]
We simply substitute the given information into the formula;
[tex]y=2000(1.25)^{x}[/tex]
This is an exponential growth function since the base of the exponent x is greater than 1.
A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value
Answer: the last ones
Step-by-step explanation: I put it and got it right:)
1. A factory makes bicycles. Out of 300 bicycles, 2 were found to have defective brakes.
a. What is the experimental probability that the next bike manufactured will have defective brakes?
b. Predict how many bikes out of 2,100 will have defective brakes.
*Please explain how you found the answers*
Answers
Answer:
a. 1/150.
b. 14.
Step-by-step explanation:
a. That would be 2/300 = 1/150.
b. So we expect 1 out of every 150 bikes will have 1 with defective brakes so out of 2,100 it is (1/150) * 2,100
= 14.
Step-by-step explanation:
Which choice is equivalent to the quotient below shown here when x>0?
Answers
Answer:
Choice B is correct
Step-by-step explanation:
The given radical division can be expressed in the following form;
[tex]\frac{\sqrt{16x^{3} } }{\sqrt{8x} }[/tex]
Using the properties of radical division, the expression can be expressed in the following form;
[tex]\sqrt{\frac{16x^{3} }{8x} }=\sqrt{2x^{2} }[/tex]
Simplifying further yields;
[tex]\sqrt{2x^{2} }=\sqrt{2}*\sqrt{x^{2} }=x\sqrt{2}[/tex]
Choice B is thus the correct alternative
For this case we must simplify the following expression:
[tex]\frac {\sqrt {16x ^ 3}} {\sqrt {8x}} =[/tex]
Join the terms in a single radical:
\[tex]\sqrt {\frac {16x ^ 3} {8x}} =\\\sqrt {\frac {8 * (2x ^ 3)} {8x}} =\\\sqrt {\frac {2x ^ 3} {8x}} =\\\sqrt {2x ^ 2} =\\\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]\sqrt {2x ^ 2} =\\x \sqrt {2}[/tex]
Answer:
Option B
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans and 26 purple jelly beans, what is the probability that a jelly bean chosen at random will be blue?
A. 13/50
B. 6/25
C. 4/25
D. 17/50
Answers
Answer:
The correct answer option is D. 17/50.
Step-by-step explanation:
We are given that a jelly bean machine has 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans and 26 purple jelly beans.
We are to find the probability of getting a blue jelly bean chosen at random.
Total number of jelly beans = 16 + 34 + 24 + 26 = 100
Number of blue jelly beans = 34
P (getting a blue jelly bean) = 34/100 = 17/50
Please help with this question. I don't understand!
Answers
Answer:
6135.9m^3
Step-by-step explanation:
V=3.14r^2 h/3
step by step
1. the radius is half so half of 25 is 12.5 that's the r in your equation
2.the height in your equation is 3 times more then the radius and your radius is 12.5X3 =37.5 for your height
3. plug everything in back into the equation v=3.14(12.5)^2(37.5/3)= 6135.923 when rounded it is 6135.9m^3
The graph of the function, f(x) = 3^2 + x + 2, opens(down or up) and has a (minimum or maximum) value.
Answers
1. The parabola opens upward.
2. It has a minimum value
Step-by-step explanation:The explanation is shown below. Also, the graph of this function is shown below including the vertex.
IXL question
I don't understand this one and I need more than 0 points :/
Answers
[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{\textit{small cylinder}}{\textit{large cylinder}}\qquad \stackrel{\stackrel{\textit{ratio of the }}{\textit{sides}}}{\cfrac{3}{6}}= \stackrel{\stackrel{\textit{ratio of the }}{\textit{volumes}}}{\cfrac{\sqrt[3]{V}}{\sqrt[3]{V}}}\implies \cfrac{3}{6}=\sqrt[3]{\cfrac{1000}{V}}\implies \left( \cfrac{3}{6} \right)^3=\cfrac{1000}{V} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{1000}{V}\implies \cfrac{1^3}{2^3}=\cfrac{1000}{V}\implies \cfrac{1}{8}=\cfrac{1000}{V}\implies V=8000[/tex]
Evaluate.
9!/7!
A.) 63
B.) 72
C.) 81
Answers
ANSWER
B.) 72
EXPLANATION
Recall the expansion for the factorial notation:
[tex]n! = n \times (n - 1) \times (n - 2) \times ...3 \times 2 \times 1[/tex]
We want to simplify
[tex] \frac{9!}{7!} [/tex]
Let us expand the numerator up to 7! while maintaining the denominator.
[tex] \implies \: \frac{9 \times 8 \times 7!}{7!} [/tex]
When we cancel out the common factors,we obtain:
[tex]\implies \: \frac{9 \times 8 \times 1}{1} [/tex]
This simplifies to
[tex]\implies \: \frac{72}{1} = 72[/tex]
The correct answer is B.
30 POINTS PLEASE HELP!
Which division problem does the model represent?
Answers
Answer:
first 1
Step-by-step explanation:
first 1
Answer:
7/4 ÷ 1/2= 3 1/2
Step-by-step explanation:
This is the answer hope it help's :)
In the straightedge and compass construction of the equilateral triangle below, how do you know that AB ≈ AC?
Answers
Answer:
C
Step-by-step explanation:
C: AB is the radius of both circles.
Answer:
C. line segment AB is the radius of both circles.
Step-by-step explanation:
If point A is the center of the first circle and point B is the center of the second circle (in the figure), therefore Line segment AB is the radius of both circles and we write.
Line segment AB = line segment AC (radius of first circle ) and
line segment AB = line segment BC (radius of second circle).
Hence line segment AB is the radius of both circle is the correct option for AB =AC.
Write an equation in point-slope form for the line through the given point with the given slope. (–3, –7); m = -6/5x
Answers
The equation in point-slope form for the line through the point (-3, -7) with slope -6/5x is y - (-7) = -6/5(x - (-3)).
Explanation:To write the equation of a line in point-slope form, we can use the given point and slope. The point we have is (-3, -7) and the slope is -6/5. The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get the equation as:
y - (-7) = -6/5(x - (-3))
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To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5. The equation in point-slope form is y + 7 = -6/5(x + 3).
Explanation:To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5.
The point-slope form of the equation is y - y1 = m(x - x1).
Plugging in the values, we get y - (-7) = -6/5(x - (-3)).
Simplifying, we have y + 7 = -6/5(x + 3).
Thus, the equation in point-slope form for the line through the point (–3, –7) with a slope of -6/5x is y + 7 = -6/5(x + 3).
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What are the period and amplitude of the function?
Answers
ANSWER
Period: 2π , amplitude: 4
EXPLANATION
The graphed function is
[tex]y = 4\cos(x) [/tex]
The amplitude of this function is
[tex] |4| = 4[/tex]
The period is 2π because there is no phase shift hence the period is still equal to the parent function.
Period: 2π , amplitude: 4
Answer:
The correct option is 3.
Step-by-step explanation:
The general form of a cosine function is
[tex]f(x)=A\cos (Bx+C)+D[/tex]
where, A is amplitude, 2π/B is period, C is phase sift and D is midline.
[tex]A=midline=\frac{Maximum-Minimum}{2}[/tex]
[tex]A=midline=\frac{4-(-4)}{2}[/tex]
[tex]A=midline=4[/tex]
The amplitude of the function is 4.
The given graph complete a cycle in the interval [0,2π], therefore the period of the graph is 2π.
Therefore the correct option is 3.
A Store is having two sales on popcorn. The original price of the popcorn is $10 for 10 oz. Sale A offers you 33% more popcorn for free. Sale B offers you the same amount of popcorn, but at 33% off of the original price. What is the better deal? Why?
Answers
Answer:
33% off is the better deal
Step-by-step explanation:
1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.
The sale price of 33% off is a better deal (if you don't want the extra popcorn).
Solve for x.
A. 6
B. 7
C. 4
D. 5
Answers
Answer:
D
Step-by-step explanation:
[tex]\frac{5x}{20} =\frac{45}{36}[/tex]
Cross multiply:
(5x)(36)=(20)(45)
180x = 900
divide by 180.
x=5
The value of x is 5.
How to find the value of x?Δ ACE ≅ Δ BCD (by AAA property)
Therefore
[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex] ( Similar triangle property)
[tex]\frac{20}{36} = \frac{5x}{45}[/tex]
5x = [tex]\frac{20 * 45}{36}[/tex]
5x = 25
x = 5
Therefore, option D. 5 is the correct answer
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The depth of a lake is 100 centimeters less than 1401 meters what is the depth in kilometers
Answers
The depth of the lake is 1.4 kilometers after converting the result to kilometers.
To find the depth of the lake in kilometers when it is 100 centimeters less than 1401 meters, first convert the depth difference to meters.
Since 100 centimeters is equivalent to 1 meter, the actual depth of the lake in meters is 1400 meters (which is 1401 meters - 1 meter).
To convert this depth into kilometers, we divide by 1000, since there are 1000 meters in one kilometer.
Hence, the depth is 1.4 kilometers.
Find the zeros of the function in the interval [-2xπ, 2π].
f(x)=3 cos x
Answers
Answer:
Option d.
±π/2 ; ±3π/2
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x)= 3*cos (x)
We can see from the graph that the zeros are
±π/2 ; ±3π/2
Correct option is d.
The figure below is rotated 270° clockwise about the origin .List the coordinates of the image.
A ( , )
B( , )
C( , )
D( , )
Answers
Answer:
A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)
Step-by-step explanation:
Before the rotation:
A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)
270° rotation clockwise is the same as 90° counterclockwise. To do that transformation:
(x, y) → (-y, x)
Therefore, the coordinates of the rotated figure are:
A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)
The coordinates of the image are:
A'(-4,-4)B'(-2,6)C'(-1,1)D(-3,-5)---------------------------
This question is solved applying a 270° clockwise about the origin, which has the following rule:
[tex](x,y) = (-y,x)[/tex]
---------------------------
Coordinate A:
At the Figure, coordinate A is A(-4,4). Applying the rule:
[tex](-4,4) = (-4, -4)[/tex]
So the image of A is A'(-4,-4).
---------------------------
Coordinate B:
At the Figure, coordinate B is B(6,2). Applying the rule:
[tex](6,2) = (-2, 6)[/tex]
So the image of B is B'(-2,6).
---------------------------
Coordinate C:
At the Figure, coordinate C is C(1,1). Applying the rule:
[tex](1,1) = (-1, 1)[/tex]
So the image of C is C'(-1,1).
---------------------------
Coordinate D:
At the Figure, coordinate C is D(-5,3). Applying the rule:
[tex](-5,3) = (-3,-5)[/tex]
So the image of D is D'(-3,-5).
A similar question is given at https://brainly.com/question/3382538
A rider is riding a bicycle on a 6 foot wall at a rate of 1 foot per second.The wheels have a radius of 1 foot and a piece of gum becomes stuck to the rear wheel as shown what's the gum minimum height and maximum height
Answers
Answer:
Gum’s Minimum height: 6ft
Gum’s Maximum height: 8ft
2nd part
How far does the gym travel in one revolution of the bicycle wheel?
2pi
Answer:
Minimum height of gum = 6 foot.
Maximum height of gum = 8 foot.
Step-by-step explanation:
A rider is riding a bicycle on a 6 foot wall, therefore the height of the lowest point of the rear wheel is 6 foot from the ground and highest point of the rear wheel is (6+2) foot = 8 foot ( because diameter of rear wheel =2 foot ).
If a piece of gum become stuck to the rear wheel, hence the minimum height of the gum is 6 foot from the ground and maximum height of the gum is 8 foot from the ground.