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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Find the volume of the figure below. round if necessary.
Answer:
Step-by-step explanation:
The radius of a cylinder is 6.0 inches and the height is 9.0 inches, what is the volume of the cylinder? if the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder?
Answer:
A) The volume of the cylinder is 1017.9 in³.
B) The volume of the enlarged cylinder is 27,482.7 in³.
Step-by-step explanation:
What is the volume of the cylinder?The radius of the cylinder is r = 6 in and the height is h = 9 in.
The volume of a cylinder can be found using the formula:
V = πr²hSubstitute r = 6 and h = 9 into the formula.
V = π(6)²(9)V = π(36)(9)V = π(324)V = 1017.876The volume of the cylinder is 1017.876 in³.
What is the volume of the enlarged cylinder?If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.
Therefore, we need to multiply the original volume by a factor of three cubed; 3³.
V_enlarged = V · 3³V_enlarged = 1017.876 · 27 = 27482.652 in³The volume of the enlarged cylinder is 27,482.652 in³.
Which represents the area of the shaded region?
area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square
The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.
Hence, option D) is the correct answer.
What is the representation of the area of the shaded region?From the diagram below;
A triangle is inscribed in a circleA Square is inscribe in a triangle.Only the the circle and square are shaded.To get the shaded region, we say;
Area of the Circle - Area of the Triangle + Area of the Square.
The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.
Hence, option D) is the correct answer.
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Question 8 of 10
If you vertically compress the absolute value parent function, f(x) = 1x1, by a
factor of 3, what is the equation of the new function?
A. g(x) = |3|
B. g(x) = 3|4|
O C. g(x) = |x - 3|
D. g(x) = 1/3|x|
Answer:
your answer should be c
Step-by-step explanation:
5 star?
If you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|
What is a function?A relation is a function if it has only One y-value for each x-value.
The absolute value function, f(x) = |x|, has a "V" shape with the vertex at (0, 0).
f(x) can also be called as parent function.
A parent function is the simplest function that still satisfies the definition of a certain type of function
When we vertically compress the graph by a factor of 3, we are multiplying the y-value by 1/3.
So the new function g(x) can be expressed as:
g(x) = (1/3) f(x)
g(x) = (1/3)|x|
Hence, if you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|
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The construction workers are constructing a line of bricks. Each brick is 8 inches long. If the line of bricks must be 24 feet long, how many bricks will the construction workers need to use?
Answer:
thhe answer would only be 3 feet
Step-by-step explanation:
Summer school classes begin at 8:30 and last for two and a half hours. At what time
the classes end?
Answer:it ends at 11:00
Step-by-step explanation:8:30+2:30=11:00
Answer:
11:00
Step-by-step explanation:
8:30 + half an hour = 9:00
9:00 + 2 hours = 11:00
What value of c makes 3x²+24x+c contain a perfect square trinomial? Is there an equation to find it or is it just guess and check?
Match each mineral property to the correct description. HELP PLS
lmk if any of these are wrong :)
Answer:
Left Side A → Right Side A
Left Side B → Right Side B
Left Side C → Right Side E
Left Side D → Right Side D
Left Side E → Right Side C
Answer:
The person above me is probably correct on theirs, but failed to realize that its mixed up differently on everyone else’s. Here are the answers-
cane someone do this please
The product of the matrices is an identity matrix. Then Both the matrices are multiplicative inverse to each other.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \ and \ \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right][/tex]
Then show that both the matrices are multiplicative inverse to each other.
If the product of the matrices is an identity matrix then the matrices are multiplicative inverse to each other.
Then we have
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right] = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
Then both the matrices are multiplicative inverse to each other.
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what is the equation of the parabola?
a- y= -1/8(x+3)^2 +2
b- y=1/8(x-3)^2-2
c-y=1/8(x+2)^2+3
d-y=-1/8(x-2)^2-3
WILL GIVE BRAINLIEST
Answer:
D. y = -1/8(x-2)² - 3
Step-by-step explanation:
General eqaution of a parabola : y = a(x-h)² + k where (h,k) is the vertex and a determines whether the parabola goes up or down as well as the width of the parabola
step 1 identify vertex
the vertex is the point that starts the curve
the vertex appears to be at (2,-3)
step 2 plug in h and k using the x and y values of the vertex
again we have y = a(x-h)² + k where (h,k) is the vertex
here the vertex is (2,-3) so h = 2 and k = -3
we get y = a(x-2)² - 3
because the curve goes down a must be negative 1/8
so the final equation would be y = -1/8(x-2)² - 3 meaning D would be the answer
your parents are trying to decide what company to invest their money in for your college tuition expenses. They are given the annual profit for the last five years of two companies they are interested in
To make an informed decision about the best place to invest money, there would have to be an evaluation of the best company and their annual profits.
What is a Financial Investment?This refers to the placing of money or asset with the hope and plan that it would appreciate after a certain period of time.
Hence, we can see that because your question is incomplete, a general overview has to be used, and thus, by the use of financial analysis by checking the annual profit over the last five years, the best choice would emerge.
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15 in
18 in
14 in
11 In
22 in
I need help on bottom three please
Find the quotient 3 6/7 divided by 5/21
Pls explain bc I’m having finals and I need a bit more help with this
Answer:
81/5 or 16 1/5.
Step-by-step explanation:
First convert the mixed number to an improper fraction:
3 6/7
= (3*7 + 6) / 7
= 27/7.
So we have
27/7 / 5/21
Invert the second fraction and multiply:
= 27/7 * 21/5
= (27*21) / (7*5)
= (27*3) / 5 ( as 21/7 = 3)
= 81/5
= 16 1/5.
4/7
of a number is 36
What is the number?
[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]
Answer:
[tex]\huge\boxed{\bf\:x = 63}[/tex]
Step-by-step explanation:
Given,
4/7th of a number = 36Let's take the unknown number as 'x'.
Now,
4/7 × x = 36
Take the reciprocal of 4/7 to the other side of the equation .
x = 36 × 7/4
Cancel 36 by 4.
x = 9 × 7
Multiply the 2 numbers
x = 63
[tex]\rule{150pt}{2pt}[/tex]
Slove the inequality for u.
23> u-2
Answer:
u < 25.
Step-by-step explanation:
u - 2 < 23
Add 2 to both sides:-
u - 2 + 2 < 23 + 2
u < 23 + 2
u < 25.
Answer:
23+2>u
25>u
(25,-∞)
this is the answer
Find the surface area of a cylinder the has a base radius of 2 feet and the height of 14 feet
Answer: If I am correct the answer is 201.06ft²
please do correct me if i am wrong.
Step-by-step explanation:
A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²
NEED HELP SHOW WORK WILL GIVE BRAINLYEST
Isaac Newton proved that fluids cool exponentially when left out in an open space. A cup of coffee was poured at a
temperature of 210°F and left on the dining room table to cool. If you start drinking it at a temperature of 150°F, 10 minutes
later, what will be the temperature be when you take the last sip 18 minutes after you poured it?
The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
Isaac Newton proved that fluids cool exponentially when left out in an open space.
A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.
If you start drinking it at a temperature of 150°F, 10 minutes later.
The exponential function is given as
[tex]\rm T_f = T_i (a)^{-t}[/tex]
Then the initial temperature will be 210°F.
[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]
Then the equation will be
[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]
Then the temperature will be when you take the last sip 18 minutes after you poured it.
[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]
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The expression below represents the perimeter, in feet, of Manual’s garden.
15 + 2x + 7 + 15 + 2x + 7
Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden.
The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7.
Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation.
Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length.
The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
What is the perimeter?The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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what is the answer to
-(-4x-7)+x=-4
Answer:
-128
Step-by-step explanation:
hope it helps srry if its wroung:>
What is the solution to this equation?
a/6-11=25
Answer:
a=216
Step-by-step explanation:
I would very much like to thank Aklee18oo for everything. this is my last question please see the attachment.
Answer:
8mm
Step-by-step explanation:
The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:
753.6 = [tex]15\pi r^{2}[/tex]
We are told to use 3.14 for pi, so:
[tex]753.6 = 15 * 3.14 * r^{2}[/tex]
[tex]r^{2} = 16[/tex]
[tex]r = 4[/tex]
The diameter is twice the radius, so the diameter is 8mm.
Answer:
8 mm
Step-by-step explanation:
Formula to find volume :
Volume (cylinder) = πr²h
⇒ 753.6 = 3.14 × r² × 15
⇒ 47.1 × r² = 753.6
⇒ r² = 753.6/47.1
⇒ r² = 16
⇒ r = 4 mm
Relating radius and diameter :
Diameter = 2 × Radius
⇒ Diameter = 2 × 4 mm
⇒ Diameter = 8 mm
If UV = 8x − 12, VW = x + 8, and UW = 2x + 10, what is UW?
Answer:
Find the value of x
In this problem i will assume that U,V and W are collinear and V is between U and W
so
----> by addition segment postulate
substitute the given values
solve for x
step 2
Find the value of VW
substitute the value of x
Step-by-step explanation:
Brandon invested $41,000 in an account paying an interest rate of 3% compounded
continuously. Evan invested $41,000 in an account paying an interest rate of 37%
compounded quarterly. To the nearest dollar, how much money would Brandon have
in his account when Evan's money has doubled in value?
After 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Let's suppose, after t time, Evan's money has doubled in value.
[tex]\rm 2P = P(1+\dfrac{0.37}{4})^{4t}[/tex]
After solving
x = 1.959 years
Use x = 1.959 years to get how much money would Brandon have.
[tex]\rm A = P e^{rt}[/tex]
[tex]\rm A = 41000\times e^{0.03\times 1.959}[/tex]
A = $43,481.78
Thus, after 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.
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Please write the solution
Answer:
D .
Step-by-step explanation:
that is the answer to the question
6)
5ft
3ft.
14ft
8 ft
I need the surface area someone help me
Answer:
258ft squared is possibly the answer
Please answer for 10 points. It is a word problem.
Step-by-step explanation:
here is your answer, this is how it's solved
Victoria needs $299 to purchase a music player. She earns $4.50 per hour from her neighbor
for babysitting. She has already saved $75. Which inequality bestrepresents the minimum
number of hours she will have to babysit to earn enough money to purchase the music
player?
Answer:
4.50(x)+75=299
Explain how to use a protractor to find the measure of angle RTV.
Answer:
How to measure an angle with a protractor:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
Step-by-step explanation:
you can use a protractor to measure and draw angles. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. Line up the bottom edge of the protractor with one leg of the angle.
=
Interim Checkpoint: Grade 7 Checkpoint 4 - Part 1
Write an equation that you can use to solve for X.
Enter your answer in the box.
100°
60
60 is the amazing cool answer XD