Answer:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Step-by-step explanation:
The sinusoidal expression has the following form:
[tex]D(t) = D+A\cdot \sin (B\cdot t)[/tex]
Where:
[tex]D[/tex] - Initial distance from the floor of the lake, in meters.
[tex]A[/tex] - Amplitude of oscillation, in meters.
[tex]B[/tex] - Angular frequency, in radians.
Now, each coefficient is derived as follows:
Initial distance from the floor of the lake
[tex]D = 1\,m[/tex]
Amplitude of oscillation
[tex]A = 1.2\,m - 1\,m[/tex]
[tex]A = 0.2\,m[/tex]
Angular frequency
From the statement it is known that boat reaches its maximum height in a quarter of its oscillation. Then, the angular frequency is:
[tex]B = \frac{\frac{1}{2}\pi \,rad}{\frac{1}{4}\pi \,s}[/tex]
[tex]B = 2\,\frac{rad}{s}[/tex]
The expression is:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Answer:
0.2sin(2t)+1
Step-by-step explanation:
This is a simplified version of the answer above me.
Brainliest to first person to answer + 35 points
Answer:
I am pretty sure it is
Step-by-step explanation:
(d) or( b)
PLEASE HELP FIRST ONE GETS IT
Answer:x=-1
Step-by-step explanation:
To solve 6-3+4x+1=
Collect like terms
6+1-3+4x=
7-3+4x=
4=-4x
x=-1
There is one solution
In a random sample survey of 240 voters, 128 said they would vote for Candidate A in an upcoming election. 1) Based on the random survey, what percent said they will vote for Candidate A? Round to the nearest whole percent. A) 49% B) 53% C) 58% D) 63%
Answer:
B) 53%
Step-by-step explanation:
To find the percent divide the number who will vote for Candidate A over the total number of people surveyed
vote for Candidate A/total surveyed
128/240=0.53333
0.53333*100=53.3333%
Rounded to the nearest percent=53%
Hope this helps! :)
1) 6x+4y=6
3x=-15
Solving systems of equations using any method
Answer:
x = -5
y = 9
Step-by-step explanation:
3x = -15
x = -5
Substitute x into the equation and simplify:
6(-5) + 4y = 6
-30 + 4y = 6
4y = 36
y = 9
Solve for X, thats all that I was told
Answer:
x=-1
Step-by-step explanation:
The first step is to expand everything in parentheses.
-2(3x-4)=4(x+3)+6
-6x+8=4x+12+6
Now, combine like terms.
10x=-10
Finally, divide both sides by 10 to isolate x.
x=-1
Hope this helps!
In the recursive formula an = an−1 + 5, the value of the previous term is represented by
A) an
B) a5
C) an+5
D) an−1
Step-by-step explanation:
In the recursive formula an = an−1 + 5
[tex]a_n = a_{n-1}+5[/tex]
Suppose if a_5 is the nth term then previous term is a_4
To get the previous term we need to subtract 1 from the n
So a_n is the nth term
[tex]a_{n-1}[/tex] is the previous term
Here 5 represents the common difference between two terms
So value of previous term is represented by
[tex]a_{n-1}[/tex]
Answer : [tex]a_{n-1}[/tex]
Answer:
D) [tex]a_{n-1}[/tex]
Step-by-step explanation:
-1 indicates the previous term
Name the quadrant in which the angle lies the
Answer:
quad 3
Step-by-step explanation:
Subtract multiples of 360
944 -360
584
584 -360
224
0-90 is in quad 1
91 -180 is in quad 2
181 - 270 is in quad 3
Can someone help me with these questions For the first 4 I need to write the word sentence as an equation
John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have!?
And you can’t find this on google so don’t even say that ! give me step by step tutorial please if ur gonna help me out
Answer:
he will have 16 portions of dog food
Step-by-step explanation:
Need help on number 10!!
Answer:
looking for the leg
Step-by-step explanation:
use patharoum therom to solve
Answer:
Step-by-step explanation:
For the check one box it will be hypotenuse and the equation will be 36^2 and 34^2
35percent as a fraction in simplest form
Answer:
7/20
Step-by-step explanation:
y+2=−2(x−3)
what is the slope of the line?
will get brainliest
Answer:
y = -2x + 6 - 2
y = -2x + 4
The slope of the line is -2.
Step-by-step explanation:
Answer:
Y+2= -2(x-3)
Subtract 2 both sides
Y= -2x + 6 -2
Y= -2x + 4
The slope is. -2
Step-by-step explanation:
5. There are 8,336 doctors being trained in the country. Half of the doctors, which is about
__________, will finish their training in two years.
a. 4,000 b. 4,200 c. 4,400
Answer:
b
Step-by-step explanation:
Answer:
B. 4,200
Step-by-step explanation:
This is your answer because 8,336 could be rounded to 8,400 and 8,400 divided by 2, or split in half is 4,200.
Equation: 8,400÷2= 4,200
What is equivalent to 8x- y+ 3x?
Answer:
11x - y
Step-by-step explanation:
Find the area(now I need to make this 20 words longfheieh)
Given:
Image of the figure
To find:
The area of the figure.
Solution:
The image is splitted into two shapes.
One is rectangle and the other is trapezium.
Reference image for answer is attached below.
Rectangle:
Length = 10 cm
Width = 2.8 cm
Area = length × width
= 10 × 2.8
Area = 28 cm²
Trapezium:
Top base = 6 cm
Bottom base = 10 cm
Height = 7.2 - 2.8 = 4.4 cm
Area = [tex]\frac{1}{2} \times(b_1+b_2)\times h[/tex]
[tex]$=\frac{1}{2} \times(6+10)\times 4.4[/tex]
[tex]$=\frac{1}{2} \times16\times 4.4[/tex]
Area = 35.2 cm²
Area of the figure = 28 cm² + 35.2 cm²
= 63.2 cm²
The area of the figure is 63.2 cm².
YOU WILL GET BRAINLIST!!!!!!!!
Rewrite the following mixed number as a decimal.
17 35/50
Answer:
17.7
Step-by-step explanation:
First off, we do not need to do anything to the 17, it is already set up for a decimal. So we have to find out how much 1/50 is so we divide:
Divide:
1/50=0.02
Multiply by 35:
0.02 times 35= 0.7
Add the 17:
17+0.7=17.7
I hope this helps u pls give a brainliest and a thx ;)
leave a comment if i am wrong
Round 6.82245628434 to 5 decimal places
The number after rounding off to 5 decimal places will be -
6.88246
We have the following number - 6.82245628434
We have to round it of to 5 decimal places.
What are Rounding numbers?Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Foe example - 53 rounded to the nearest ten is 50.
According to the question, we have the following number -
6.82245628434
Rounding it off One by one until we get 5 digits after decimal -
R1 - 6.8224562843
R2 - 6.822456284
R3 - 6.82245628
R4 - 6.8224563
R5 - 6.822456
R6 - 6.82246
Hence, the number after rounding off to 5 decimal places will be -
6.88246
To solve more questions on Rounding Numbers, visit the link below-
https://brainly.com/question/17284779
#SPJ2
The number 6.82245628434 rounded to 5 decimal places is 6.82245.
Explanation:To round the number 6.82245628434 to 5 decimal places, you should consider the 6th digit beyond the decimal point. In this case, the 6th digit is number 5, and the 5th digit is 2 that is even. Because the digit following the decimal place you are rounding to (5th place, the digit is 2) is exactly 5 and preceding digit is even, you don't round up the preceding digit. So, when you round 6.82245628434 to 5 decimal places, you get 6.82245.
Learn more about Rounding Numbers here:https://brainly.com/question/28562556
#SPJ3
What is the surface of a sphere with the radius of 5 ft
Hello there, to answer your question...
Surface Area = 4πr2
= 4×π×52
= 100π
= 314.159The surface area of a sphere with a radius of 5 ft is 100π square feet.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3πr³.
The surface area of a sphere with a radius r is given by the formula:
Surface area = 4πr²
We have,
The surface area of a sphere with a radius r is given by the formula:
Surface area = 4πr²
Substituting r = 5 ft, we get:
Surface area = 4π(5^2) = 4π(25) = 100π
Therefore,
The surface area of a sphere with a radius of 5 ft is 100π square feet.
Learn more about sphere here:
https://brainly.com/question/12390313
#SPJ3
If y equal 6 what is 2y
Answer:
12
Step-by-step explanation:
2*6=12
Answer:
12
Step-by-step explanation:
if y is 6 this u change the y to a 6 making it a multiplication problem 2*6
Crystal owes $8,950 on her Electronics Boutique credit card with a 18.4% interest rate. She owes $6,390 on her Miscellaneous Goods credit cards which has a 22.9% interest rate. What is the total monthly payment needed to pay off both cards in three years, assuming she makes fixed payments and does not charge any more purchases with the card?
Final answer:
The total monthly payment needed to pay off both cards in three years, assuming fixed payments and no further charges, is $550.78.
Explanation:
Calculating the Total Monthly Payment
To calculate the total monthly payment needed to pay off both cards in three years, we need to find the monthly payment for each card and add them together.
Calculating the Monthly Payment for Electronics Boutique Credit Card
Step 1: Calculate the monthly interest rate by dividing the annual interest rate by 12. For the Electronics Boutique card, the monthly interest rate is 18.4% / 12 = 1.53%.
Step 2: Use the formula for calculating the monthly payment on a loan:
Monthly Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))
For the Electronics Boutique card, the principal is $8,950 and the number of payments is 3 years * 12 months per year = 36 months.
Plugging the values into the formula, the monthly payment for the Electronics Boutique card is $320.84 (rounded to the nearest cent).
Calculating the Monthly Payment for Miscellaneous Goods Credit Card
Following the same steps as above, the monthly payment for the Miscellaneous Goods credit card is $229.94 (rounded to the nearest cent).
Calculating the Total Monthly Payment
To get the total monthly payment, we add the monthly payments for both cards: $320.84 + $229.94 = $550.78 (rounded to the nearest cent).
In order to identify extraneous solutions in a rational equation, you must know where each part of the equation is undefined. How many different values are undefined for the given expression?
\frac{x+2}{x\left(x-2\right)\left(x+4\right)}
x(x−2)(x+4)
x+2
Answer:
i hate math
Step-by-step explanation:
Describe the likelihood of spinning an odd
number then an even number.
Construct a linear equation for the table. What is the slope of the line
We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
I need help with this PLEASE
Answer:
B 2/5
F theoretical > experimental
Step-by-step explanation:
P(heads) = numbers of heads/ total
=8/20 = 2/5
The theoretical (1/2) is greater than the experimental probability
1/2 > 2/5
What did the Selective Service Act mean for American men
Answer: The Selective Service Act requires all men between the ages of 21 and 30 to register for military service.
Step-by-step explanation:
Answer:
they could be drafted into the army
Step-by-step explanation:
Ape x
0.5(r+2.75)=3 sovle for r
Hope this will help u...:)
Hawaii (12° F)
-60South Dakota (-58° F)
Enter the difference, in degrees, between the record low temperatures
Hawaii and South Dakota.
Final answer:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota is 70°F.
Explanation:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota can be found by subtracting the temperature of South Dakota from the temperature of Hawaii.
Hawaii has a record low temperature of 12°F and South Dakota has a record low temperature of -58°F.
Therefore, the difference in degrees between the two record-low temperatures is:
(12°F) - (-58°F)
= 12°F + 58°F
= 70°F.
The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently
measures 120 ft by 80 ft, and the expansion will increase its area by 4.400 ft? By how many feet should the length of the
parking lot be increased?
Answer:
The length of the parking lot should be increased by 20 feet.
Step-by-step explanation:
First, you find the product of 120 and 80, you get 9600.
Next, add 4400 to it. You get 1400
Finally what would you add to both 120 and 80 to get 14000? 20 to get 140*100.
Solve the following:
a)X + 5 = 11
b) X- 6 = 8
c) 3 + x = 7
d) 12 = x + 5
Answer:
Step-by-step explanation:
a) X + 5 = 11
Subtract 5 from both sides
X = 6
b) X - 6 = 8
Add 6 on both sides
X = 14
c) 3 + X = 7
Subtract 3 on both sides
X = 4
d) 12 = X + 5
Subtract 5 from both sides
7 = X or X = 7
Answer:
a) x=6
subtract 5 from each side.
b) x= 14
add 6 to each side
c) x=4
subtract 3 from both sides
d) x=7
subtract 5 from both sides
Step-by-step explanation:
a) subtract 5 from each side.
b) add 6 to each side
c) subtract 3 from both sides
d) subtract 5 from both sides
Rosa is converting a unit of measure in one system to a unit of measure in another system. 1,760 yd1 mi⋅0.914 m1 yd⋅1 km1,000 m Which statement about Rosa's calculations is true?
Rosa is finding the number of kilometers in a mile.
Rosa is finding the number of meters in a mile.
Rosa is finding the number of miles in a kilometer.
Rosa is finding the number of yards in a kilometer.
Answer: Rosa is finding the number of kilometers in a mile.
Step-by-step explanation:
According to the given information, we have:
1,760 yd=1 mi
0.914 m=1 yd
1 km=1,000 m
So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:
[tex](1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km[/tex]
Then:
[tex]1 mi=1.608 km[/tex] This is the number of kilometers in a mile.