Answer:
15
Step-by-step explanation:
jamestown really began in 1606 in may and columbos reached america in 1497
A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
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if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose
Answer:
300 ft^2
Step-by-step explanation:
Multiply 30 by 10
The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, I have 80 feet of fencing.
Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.
∴ 2(l + b) = 80.
l + b = 40.
So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.
We know the product of the sum of two numbers is maximum when the difference between them is minimum.
∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.
Area = 21×19 sq feet.
= 399 sq feet.
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A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is
Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into [tex]K(x)= 2x^2 -5x +3[/tex].
Thus, substitute:[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]
Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
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Simplify the following expression 5(3x + 7)
Answer:
15x + 35Step-by-step explanation:
Simplify the following expression 5(3x + 7)
5(3x + 7)=
15x + 35
Answer:
15x + 35
Step-by-step explanation:
5×3x+7×5
=15x+35
The mean, median, and mode of a distribution are __________. A. Measures of central tendency B. Measures of variability C. Types of transformed scores D. Types of deviations Please select the best answer from the choices provided A B C D.
The mean, median, and mode of a distribution are measures of central tendency.
A measure of central tendency of a data set determines its central value. Measures of central tendency are mean median and mode.
Mean is the average of a set of numbers.
Mode refers to a value that appears most frequently in a data set.
Median is the number in the centre of a data set.
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Answer:
A
Step-by-step explanation:
can someone please help me solve this!
Answer:
B
Step-by-step explanation:
[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]
B is factorable through this method
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
Answer:
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?
i think i did this problem wrong can someone help
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.
Answer:
26 degrees
Step-by-step explanation:
The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.
From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.
(soh cah toa)
[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]
Now, just plug in the 2 known values and solve for the unknown:
[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]
The angle is 26 degrees, and you can check that by doing it in reverse:
[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]
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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets
Solve for x 2(x - 2)² = (2x - 1)(x - 3)
answer please
Answer:
X = 5
Step-by-step explanation:
Answer: x = 5
Step-by-step explanation:
Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).
Simplify the equation.
2(x - 2)(x - 2) = (2x - 1)(x - 3)
2(x² - 4x + 4) = (2x² - 7x + 3)
2x² - 8x + 8 = 2x² - 7x + 3
Solve for x.
2x² - 8x + 8 = 2x² - 7x + 3
-8 - 8
2x² - 8x = 2x² - 7x - 5
+8x + 8x
2x² = 2x² + x - 5
-x - x
2x² - x = 2x² - 5
-2x² - 2x²
- x = - 5
- 5 ÷ - 1 = 5
x is equal to 5.
100 POINTS IF U GET THIS RIGHT!
Answer:
9/8Step-by-step explanation:
Slope- intercept form:
y = mx + b, where m is the slopeThe line given:
y = 9/8x + 1/8This includes the slope, which is:
m = 9/82. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation:
Confused help please
Answer:
130
Step-by-step explanation:
1 and 2 form a straight line, so they are supplementary. That means they add up to 180. So,
a1+a2=180
50+a2=180
a2=130
Answer:
it would be B.130
Step-by-step explanation:
considering an angle can only go to 180* subtract 50 from 180 and you get 130
:) stay safe out there
Answer:
8
Step-by-step explanation:
The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?
What is the simplest form of 4 sqrt 81 x^8y^5.
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?
Answer:
1, Stay calm
2, be confident
3, if you know the type of questions they are gonna ask practiece those type of questions
Also good luck
Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?
Answer:
t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar
Step-by-step explanation:
I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)
" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"
types of vertical mirrors
Answer:
Rectangle.
Round.
Arched.
Novelty.
Square.
Oval.
Octagon.
Sunburst.
Hope this is what you're looking for :)
Brainliest please
the choices for the first one is either x values or y-values
Answer:
x values
division
Step-by-step explanation:
Vertical lines are all "rise" and no "run"
therefor the difference in x values is always 0
division by 0 is undefined
Answer: y- values
Step-by-step explanation:
pls help me with math no links pls thank you will mark you brainliest
18 points
Answer:
None of those are the correct answer. The answer is 10.3625
Step-by-step explanation:
So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.
Last weekend, 15% of the tickets sold at Seaworld were discount tickets. If Seaworld sold 40 tickets in all, how many discount tickets did it sell? Use the percent proportion.
Answer:
6 tickets
Step-by-step explanation:
An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
Answer:
The answer is $28.93.
Step-by-step explanation:
Using the butterfly method I got $28.93 as my answer.
$68.89 x 42%= $2,893.38
$2,893.38÷100%= $28.9338
$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.
Answer:
answer is D.
68.89 x .42= $28
Step-by-step explanation:
to get your answer you multiply the numbers.
$68.89 x .42 = $28
your answer is $28.
hope this helps!
please make me brainliest !
Write the unit fraction depicted in the model as a percent.
One-fourth =
Answer:
Step-by-step explanation:
= 1/4*100
= 1*25
= 25%
• Answer is 25%.
Please help with this problem!
(WILL MAKE BRAINLIEST)
Answer:
the third, and fourth options
Step-by-step explanation:
hope it helps
Answer:
3rd n 4th
hope this helps you!!!
Help me with this question
Answer:
Is it for a test
Step-by-step explanation: