Given:
The sine function is:
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
To find:
The frequency of the graph of given function.
Solution:
If a sine function is defined as:
[tex]y=A\sin(Bx+C)+D[/tex]
Then, the frequency of the sine function is:
[tex]f=\dfrac{B}{2\pi}[/tex]
We have,
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
Here, [tex]B=2[/tex]. So, the frequency of the given function is:
[tex]f=\dfrac{2}{2\pi}[/tex]
[tex]f=\dfrac{1}{\pi}[/tex]
Therefore, the correct option is D.
Find the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
What is the measure of angle ABC of a circle
Answer:
the angle <ABC is equal to 65°
Find the distance between each pair of points. Round to the nearest tenth if necessary.
(4,2) and (-6, -6)
Answer:
Radical (20)
Step-by-step explanation:
Radical ( (4-6)² + (2-6)²)) =radical ( 4+16) = radical (20)
PLS HELP ASAP IS THIS TRUE OR FALSE?
*image below*
Answer:
true
Step-by-step explanation:
idek
Answer:
True
Step-by-step explanation:
If we say x-1=0
x=1
F(1)=(1)^3-7(1)^2+15(1)-9
=1-7+15-9
=-6-9+15
=0
So this proves that it's a factor by factor theorem
A factor must give 0 if it's substituted to the equation
Find the volume of this sphere. Use 3 for pi.
Answer:
radius=16divided by 2
=8
Volume=4÷3πr^3
Volume=4÷3×3×8
Volume=96÷3
Volume=32
Find the midpoint of the line segment with the given endpoints.
(-4,-2) (3, 3)
Answer : - 4 + 3 = - 1
- 2 + 3 = 1
By half gives - 1/2 and 1/2
So midpoint (-1/2, 1/2)
the question is in the photo
[tex]\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15[/tex] here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot
77/15 as a mixed number
Answer:
5 2/15
Step-by-step explanation:
Answer:
5 [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).
To get a mixed number, we are going to divide 77/15 using long division:
(I attached an image down below for you to understand better)
15 goes into 77 only 5 times with a remainder of 2.
So our whole number is 5
And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.
So your answer is 5 [tex]\frac{2}{15}[/tex]
Hope it helps (●'◡'●)
Find the area of the triangle bounded by the lines y=x y=-x and y=6.
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
Learn more about area of triangle here
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How do you get 24 with the numbers 6, 5, 4 and 8
Step-by-step explanation:
hoped this will help you
if that's help you plz vote me or mask as brinalist
Write an equation of the line that passes through the point (4, -5) with slope 2.
a) y+5=-2(x-4)
b) y+5=2(x-4)
c) y-4=-2(x+5)
d) y-4=2(x+5)
Answer:
y + 5 = 2(x - 4)
Step-by-step explanation:
y + 5 = 2(x - 4)
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
I have a lot of algebra problems. Someone help me even with this one please!
Answer: Choice D
The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.
=========================================================
Explanation:
Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718
So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).
Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.
---------------
A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"
So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.
In other words, discrete sets have "gaps" so to speak, while continuous ones do not.
---------------
Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.
In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Answer:
the exact answer is 1.98
if we rationalize denominator we get root 0f 10 times pi divided by 5
root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92
Step-by-step explanation:
[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]
Help i give fre robuc and v bucc and gems
Answer:
x intercept is -7 and y intercept is 2
Step-by-step explanation:
Answer:
x intercept (-7,0)
y intercept (0,2)
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
if 2 is added to denominator and nemerator it becomes 9/10 and 3 is substracted from nemerator and denominator it becomes 4/5 find the fraction
Answer:
9-2 /10-2
7/8
4+3/5+3
7/8
fraction is 7/8
Solve for x. Round to the nearest tenth, if necessary.
What is the answer to 3/4 x 1/2
What is the answer to 3/4 x 1/2?
Answer : 0.375
Answer:
3/8
Step-by-step explanation:
which table represents a linear function graph 1. pleasee help also giving brainliest
Answer:
2 i think it is
Step-by-step explanation:
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
4
)
and
(
−
1
,
−
5
)
Give coordinates as decimals where appropriate
Answer:
Step-by-step explanation:
The Midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where the x's and y's come from the coordinates of the endpoints. Filling in:
[tex]M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)[/tex]
Can someone help me solve this problem please
Answer:
In picture
Step-by-step explanation:
Brianliest please~
Please can someone work this out please it would reallly help
Answer:
12.25 [tex]\leq[/tex] x < 12.35
Step-by-step explanation:
5 is the cut off when rounding.
If a number to the right is greater than or equal 5, you round up.
If it's less than 5, you drop the number.
So 12.25 would be rounded up to 12.3
12.34 would be rounded to 12.3
How do you get the 12.25?
Subtract .05 from 12.3
How do you get 12.35?
Add .05 to 12.3.
The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.
What is the measure of UV?
A. 38°
B. 42°
C. 46°
D. 84°
Answer:
D. 84°
Step-by-step explanation:
I'm correct if I'm rwong
The measure of UV will be similar to the measure of XY. Then the measure of UV is 46°, then the correct option is C.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of UV will be similar to the measure of XY.
UV = XY
UV = 46°
More about the angled link is given below.
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Which of the following represents the general form of an inequality?
Ax + By 2 C
Ax + By >
Ax + By < 0
All of the choices
Answer:
Third option:
Ax + By < 0
Step-by-step explanation:
The general form of an inequality is:
(something) (symbol) (another thing).
Where the symbols can be:
> = "larger than"
< = "smaller than"
≤ = "smaller than or equal to"
≥ = "larger than or equal to"
So, a given inequality can be:
K > M
This means that K is larger than M.
From the given options, the only one that has this general form is the third option:
Ax + By < 0
This can be read as:
"A times x, plus B times y, is smaller than zero"
Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=
Answer:
[tex]p=11.2[/tex]
Step-by-step explanation:
Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:
[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]
Simplify:
[tex]14.3p-32.24=127.92[/tex]
Add 32.24 to both sides:
[tex]14.3p=160.16[/tex]
Divide both sides by 14.3:
[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
I need help with my math!!!!!!!
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Area of a square = [tex]s^{2}[/tex] (s is a side length)
24 = [tex]s^{2}[/tex]
[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]
[tex]\sqrt{24}[/tex] = s
[tex]\sqrt{(4)(6) }[/tex] = s
2[tex]\sqrt{6}[/tex] = s
Player 1 starts with $10. Suppose that Player 1 gives $2 to Player 2. How much money will Player 2 get?
$0
$2
$6
Answer:
$2
Step-by-step explanation:
If Player 1 gives $2 to player 2, then player 2 would have $2 and player 1 would have $8
In ∆ABC ,D and E are points on the sides AB and AC respectively such that DE is parallel to BC , 1) If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC. 2) If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm , find x 3) I f AD =2cm ,BD = 4cm , show that BC = 3 DE
Answer:
1). AC=8.25cm
2). DB=7cm & EC=14cm
3). See Explanation
Step-by-step explanation:
According To the Question,
Given That, In ∆ABC, D and E are points on the sides AB and AC respectively such that DE is parallel to BC.
1). If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC.
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD / BD = AE / EC
⇒ 2.5 / 3 = 3.75 / EC
On Solving we get,
⇒ EC * 2.5 = 3.75 * 3
⇒ EC * 2.5 = 11.25
⇒ EC = 11.25 / 2.5
⇒ EC = 4.5 cm
Thus,
AC = AE + EC
⇒ AC = 3.75 + 4.50
⇒ AC = 8.25 cm
Hence the measure of AC is 8.5 cm.
2). If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD / BD = AE / EC
⇒ 4 / (x-4) = 8 / (3x-19)
on solving we get,
⇒ 3x-19 = 2(x-4)
⇒ 3x-19 = 2x-8
⇒x=11
Thus, DB =x–4 ⇒ 11-4 ⇒ DB=7cm
And, EC =3x-19 ⇒ 3×11-19 ⇒ EC=14cm
3). If AD=2cm , BD= 4cm , show that BC = 3 DE
Thus, AB = AD + DB = 2+4 = 6cm
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD/AB = DE / BC
⇒ 2 / 6 = DE / BC
on solving we get
⇒ BC = 3 DE Hence, Proved