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Answer:

the correct answer is option ( C )

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

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Answer:

D. 40 seconds!! Props to guy above.

Answer:

What graph?

Step-by-step explanation:

No wonder why you have been waiting 25+ mins to get an answer

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

edge⬇️

Answer:

Which Restaurant and aquarium

Step-by-step explanation:

If you tell the name I can answer it

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a.   x + y = 23

     x - y = 7

b.  Adding the 2 equations eliminates y, so we have

     2x = 30

        x = 15.

     Substitute x = 15 in equation a:

      15 + y = 23

         y = 23 - 15

        y =  8.

       Answer x = 15, y = 6.

Step-by-step explanation:

this is what you are told in the problem

x+y=23............1 (the sum)

x-y=7.................2 (the difference)

PS make sure to number your equations

in equation 1 we can take x over so that we form a new equation labelled equation 3

y=23-x...........3

sub 3 into 2

x-(23-x)=7

x-23+x=7

2x=7+23

2x=30

x=15.........4

sub 4 into 1

15+y=23

y=23-15

y=8

Answer: $53.50 ?

Step-by-step explanation:

Answer:

-5+.3

Step-by-step explanation:

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Answer:

j = 40

Step-by-step explanation:

"-3 * a number "  means -3j

"equals -120" means = -120

-3j = -120

j = 40

Answer:

Given: The equation of the line y = 3x+2

The condition for a point to be on a line is to satisfy its equation

(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation

3 = 3(1/3) + 2

= 1 + 2

= 3

Hence, (1/3, 3) lies on the line

(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation

8 = 3(2) + 2

= 6 + 2

= 8

Hence, (2, 8) lies on the line

(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation

2 = 3(0) + 2 = 2

(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation

19 = 3(7) + 2

= 21+ 2

= 23 ≠ 19

Step-by-step explanation:

Answer:

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

im sorry if its wrong I just search this :)

Answer:

n

Step-by-step explanation:

it's simple mathematics that's the way it is

Ages of swapna and suma are 33 and 7 years old respectively

If Swapna is 26 years older than her daughter Suma, then;

x = y + 26 ............... 1

6 years later:

Age of Swapna  = x + 6

Age of Suna = y + 6

If Swapna will be thrice as old as Suma, then;

x + 6  = 3(y + 6) ................. 2

Substitute equation 1 into 2:

y + 26 + 6 = 3y + 18

y + 32 = 3y + 18

-2y = -14

y = 7

Since x = y + 26

x = 26 + 7

x = 33

Hence ages of swapna and suma are 33 and 7 years old respectively

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Answer:

32.

Step-by-step explanation:

The total tax paid is $2,300 on the yearly salary of $50,000

What tax rate applies to the first $10,000 of salary?

The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.

The tax on the first $10,000 is computed as shown below:

tax on the first $10,000=$10000*3%

tax on the first $10,000=$300

The tax on the remaining $40,000 is 5% of the amount

The tax on the remaining $40,000=5%*$40,000

The tax on the remaining $40,000=$2,000

In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000

total tax paid=$300+$2,000

total tax paid=$2,300

Find out more about personal income tax on:https://brainly.com/question/13793671

#SPJ1

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

V = πr²h

V = 3.14 · 2² · 6

V = 3.14 · 24

V = 75.36

Hope this helps!

Answer: 75.36

Step-by-step explanation:

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.

and so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a, b being the legs.

so,

the x difference is 9-12 = -3

the y difference is 31-25 = 6

therefore,

distance² = (-3)² + 6² = 9 + 36 = 45

distance = sqrt(45) = 6.708203932...

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a

Answer:

  19

Step-by-step explanation:

The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.

_____

Additional comment

In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.

[tex]\dfrac{d}{dx} \left(e^{x^2} \cdot x^2\right)\\\\=e^{x^2} \dfrac{d}{dx} (x^2) + x^2 \dfrac{d}{dx}\left (e^{x^2}\right)\\\\=e^{x^2} \cdot 2x + x^2 \cdot e^{x^2} \cdot \dfrac{d}{dx} (x^2)\\\\=2x e^{x^2} + 2x^3 e^{x^2}\\\\=2xe^{x^2}(1+x^2)[/tex]

Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678

Step-by-step explanation:

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

Answer:

negative 0.75

Step-by-step explanation:

negative 6 + 5 is negative 1

divide 1/4 wich is 0.25 then

0.25 + negative 1 is negative 0.75

Answer:

Slope: Greater for Function A

Y-intercept: Same for both

Step-by-step explanation:

Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope

Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal

Hope this helps :)

Answer:

The slope is greater for function A and the y-intercepts are the same.

Step-by-step explanation:

The slope for function A :

= (3-0) / (0 - (0.5)

= 3 / -0.5

= -6.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

The slope for function B :

= (3-7) / (0 - (-1)

= -4.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

Answer:

$4,750

Step-by-step explanation:

Answer:

3360

Step-by-step explanation:

1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360