Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?
Answer:
243 inches
Step-by-step explanation:
27 bracelets at 9inches each
9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.
Which equation is true?
Answer:
i think its the 3rd option
Find the scale factor of the small triangle to the large triangle.
Answer:
scale factor is: 2.25
Step-by-step explanation:
A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
Find (3x+1)(x+4) using the table of products. Write your answer in standard form.
Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
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2x-y+8z=13
3x+4y+52=18
5x-2y-72=20
Answer:
Answer is above (In the image).
Step-by-step explanation:
I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.
In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!
2x-y+8z=13 1️⃣
3x+4y+52=182️⃣
5x-2y-72=203️⃣
We first combine liked terms in equation 2 and 3.
2️⃣turns into 3x+4y=-34 let's call it 2️⃣'
3️⃣turns into 5x-2y=92 let's call it 3️⃣'
Then solve for x
3️⃣'*2
10x-4y=184
3️⃣+2️⃣
13x=150
x=150/13
Now substitute the x back into equation 2️⃣'
3*150/13+4y=-34
450/13+4y=-442/13
4y=-892/13
2y=-446/13
y=-223/13
Now we can substitute this back into 1️⃣ to solve for z
2*150/13- - 223/13+8z=169/13
523/13+8z=169/13
8z=-354/13
4z=-177/13
z=-177/52
This problem is kind of messy so let me restate my answer!
x=150/13
y=-223/13
z=-177/52
I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
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Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answer:
63+38=101
Step-by-step explanation:
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
What is m/3= -1.5 what is m???
Answer:
-4.5
Step-by-step explanation:
M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .
Hope this helps :))
Find the unknown side length x. Write your answer in simplest radical form
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40 → B
1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).
2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?
Function Notation.
Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)
f(-2)=2(-2)^2-4= ?
f(0)=2(0)^2-4= ?
f(1)=2(1)^2-4= ?
Answer:
1. vertical translation (the point goes straight up)
2. P'(0,7) (the translation was up five units and over 1 unit)
3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)
f(0)=2(0)^2-4= (all y values are -4) (0,-4)
f(1)=2(1)^2-4= (all y values are -2) (0,-2)
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:
580 cm^2
Step-by-step explanation:
First, find the area of the front and back. 20*10=200
There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400
Then, the sides. 3*20=60*2=120
Then, the top and bottom 10*3=30*2=60
400+120+60=580
Answer:
420
Step-by-step explanation:
60+60+30+30+120+120
hope this helped :)
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
The Value that you insert into a function is know as the?
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
Write an equation that models the linear relationship in the graph below
Answer:
y=-4/7x+4
Step-by-step explanation:
hope this helps
Answer:
4/7+4=y
Step-by-step explanation:
y=mx+b
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Probability refers to chance of occurrence of any event.
Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]
So,
Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]
Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answer:
Step-by-step explanation:
57x2/(12+7)=6
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
BCDE is a rhombus. Find the missing measures.
BC = 28 and BD = 32
CD =
FD =
EF =
EC =
Answer: CD=28
FD= 16
Step-by-step explanation:
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Answer:
Step-by-step explanation:
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Let us represent
Number of apples = x
Number of pears = y
Number of oranges = z
Given that
3 apples and 4 pears cost $1.95
3x + 4y = 1.95
4 pears and 1 orange cost $1.60
4y + z = 1.60
z = 1.60 - 4y
1 orange and 3 apples cost $1.15
z + 3x = 1.15
z = 1.15 - 3x
what is the cost of 1 apple?
factor the expression below
x^2-49
Answer:
(x+7)(x-7)
Mark my answer as Brainlist.
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
Convert the following to a percentage: $0.40 out of $2.50
Answer:
16%
Step-by-step explanation:
Solution for 0.40 is what percent of 2.50:
0.40:2.50*100 =
(0.40*100):2.50 =
40:2.50 = 16
Answer:
16%planation:
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation: