Write a sine function that has an amplitude of 5, a midline of 2 and a period of 3/7
A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
What is sine function?A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.
Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,
a = 5
b = (2π)/(3/7) = 14π/3
d = 2
Substituting the values in the sine function,
a sin b (x-c) + d
= 5 Sin(16π/3)(x-0) + 2
= 5 Sin(16πx/3) + 2
Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
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What it the measure of CD?
Answer:
B. 72°
Step-by-step explanation:
Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.
Then
The measure of arc CD = 2 × m∠DBC
= 2 × 36
= 72°
Vasanti has read 0.25 of the book Robinson Crusoe. If she read 0.125 of the book each day, how many more days does she need to complete reading the book?
Answer:
798 days
Step-by-step explanation:
100-0,25=99,75
99,75/0,125=798
equation that shows 3 less than the product of 4 and m
The equation that shows 3 less than the product of 4 and m is 3 < 4m
Formation of equationFormation of equation is a means of transforming statements into equations
The product of 4 and m is 4m
If 3 is less than the product of 4 and m, this is expressed as:
3 < 4m
Divide both sides by 4
3/4 < m
m > 3/4
Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m
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7 time 45 please i need help this for the class
need help ASAP WILL GIVE BRAINLIEST
Answer:
See below
Step-by-step explanation:
It opens upwards ( bowl shaped) (vertex is on one side and focus on other with focus inside the parabola)
axis of symmetry is x = -8
vertex is (-8,0)
Please help me!!!!!!!!
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
➣ Here given two lines are parallel and also know as transversel➣ angle a and b are same side interior angle➣ and given two angle are supplementary➣ and sum of supplementary angle is of 180⁰➣ soo the equation formed is a+b =180⁰[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★ ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.➣Transversal :-A line which traverses or intersects any system of other lines transversely.➣ Interior angles :- The inner angle between two sides[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
please help, much appreciated!!
Answer:
I just answered this. (48, 192) for profit = 500x + 450y under x+y <= 240, y >= 4x
Please help me find the mean and the median:
Answer:
anyways your answer is 1
Step-by-step explanation:
Use the net to find the surface area of the regular pyramid. (OPEN TO SEE PICTURE) PLS ITS URGENT
By the combined area of the triangles and the base. The total surface area of the regular pyramid would be 197.1 ft^2.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
we need to find the areas of each triangle in the pyramid.
The area of base = 15.6
The area of each outer triangle = 1/2 x 9 x 12
= 54
There are 3 triangle
3 x 54 = 162
The total area will become
162 + 35.1
= 197.1
Therefore, The total surface area of the regular pyramid = 197.1 ft^2
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1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
360 units squared
Step-by-step explanation:
10*10 = 100
10*13*2 = 260
260 + 100 = 360
Help me with this please
Answer: $5.00 is the range
Step-by-step explanation: Range is the largest number subtracted by the smallest, so $6 - $1 is $5.
Javior has an equal number of dimes, nickels and
quarters. He has a total of $2.40. How many coins
does he have all together?
?
Dimes:
Nickels:
Quarters:
?
?
Answer:
?
Find the product. 526 x 9
Answer:
526 X 9= 4734 is the answer.
What is the formula for a surface area of a rectangular prism?
Answer:
[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Step-by-step explanation:
We know that the surface area is the sum of the area of the prism's faces.
It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:
[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]
A model has been drawn of the rectangular prism. (image)
Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:
[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]
[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
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Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.
B
Line segments AB and BC are congruent.
C
Line segments AB and DE are congruent.
D
Angles A, B, C, D, E and F are all congruent.
Answer: Line segments AB and DE are congruent.
Step-by-step explanation:
Given : Triangle ABC is congruent to triangle DEF .
We know that if two triangles are congruent then their corresponding sides and angles are congruent.
This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)
Therefore,
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
AB=DE
BC=EF
AC=DF
From the given options the only right option is line segments AB and DE are congruent.
Answer:
Step-by-step explanation:
Answer: Line segments AB and DE are congruent.
PLEASE HELP IM GIVING 15 POINTS !!!!! how would you solve y=x^2+4x-1 ? and how would you solve y-7x=9 ?
What is the mean of the normal distribution shown below?
Answer:
2
Step-by-step explanation:
thx
What is the surface area of a cube if it’s 15 cm 15 cm and 15 cm
Answer:
1350 sq in
Step-by-step explanation: leangth times width is 15 x 15 so the face of one side is 225 multiply this by the number of faces in this case six and you get your awnser 1350 sq in
H. e. l. p
____
( - ^ • )
( > > )
MeEee
For the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have
1) Side length = 3.2 dm
Volume = (3.2)³ = 32.768 dm³
2) Volume of cube = 216 cubic meters
a³ = 216
a = 6 meters
3) The dimensions for sewing box: 10 cm, 8 cm, and 6 cm
Volume = 10×8×6 = 480 cubic cm
Similarly, we can calculate the rest of the data.
Thus, for the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.
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a
Matt spent $90 per month on
groceries and a total of $640 for
clothes and entertainment over the
last 4 months. How much should Matt
expect to pay for clothes, groceries,
and entertainment in 1 year?
Answer:
3000
Step-by-step explanation:
640x3 = 1920
90x12 = 1080
a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far is the ship from the costline ?
Answer:2863.6ft
Step-by-step explanation: x=100/tan2 makes the awnser.
Use the information to answer the question.
John walked 32,000 steps during a training week. His weekly goal is to walk 300 more steps than he did in the previous week. Let w represent the
number of weeks after the training week.
Which expression represents the total number of steps John will walk if he meets his goal?
Answer:
Steps = 300w + 32,000
Step-by-step explanation:
Anyo
Someone pls solve[tex](\sqrt{2}+1) (\sqrt{2}+3)[/tex]. Looking forward to a great answer
Answer:
(√2+1 )(√2+3 )
(√2×√2)+(√2×3)+(1×√2)+(1×3)
2+3√2+√2+3 = 5+4√2
=5+4√2
wat is 5x5 divede by 8 help plsss!!!!!!!!!!!!! (100) points!!!
Answer:
25/8 = 3.125
Step-by-step explanation:
Answer:
5 × 5 ÷ 8 = 3 ¹/₈
Step-by-step explanation:
Using the order of operations we need to work from left to right.
Therefore we should carry out the multiplication first.
5 × 5 means "5 lots of 5"
⇒ 5 × 5 = 5 + 5 + 5 + 5 + 5 = 25
Now we need to divide 25 by 8.
8 + 8 + 8 = 24
Therefore, 8 goes into 25 three times with a remainder of 1.
So, 5 × 5 ÷ 8 = 3 ¹/₈
Which conclusion does the proportion support?
3/9=9/27
Answer:
x3
Step-by-step explanation:
3x3 is 9 9x3 is 27
What is the value of 4’3 divided by 2’3
7
16
2
8
8
Done →
Hey there!
ASSUMING:
4^3 / 2^3
IF SO:
4^3 / 2^3
= 4 * 4 * 4 / 2 * 2 * 2
= 16 * 4 / 4 * 2
= 64 / 4
= 64 ÷ 2 / 8 ÷ 2
= 32 / 4
= 32 ÷ 4
= 8
Therefore, the answer should be: 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2(4x+2)=4x-12(x-1)
Solve the equation
Step-by-step explanation:
here you go hope it helps
How much more sand could the container hold before it overflows?
Answer:
67.5 in^3
Step-by-step explanation:
just calculate the volume
= 5 x 4.5 x 3
= 67.5 in^3
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
