For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

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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Answer:

21

Step-by-step explanation:

One number is 3 times another

x and 3x

difference between the numbers is 14,

3x - x = 14

simplify

2x = 14

Divide both sides by 2

x = 7

3x = 21

Answer:

The larger number is 21.

Step-by-step explanation:

let, the smaller number be x.

the larger number be 3*x =3x.

Now,

3x-x=14

or, 2x=14

or, x=14/2

x=7

here,

3x=3*x=3*7=21

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

Answer:

                    "Please excuse my dear Aunt Sally or PEMDAS"

____________________________________________________________

Please stands for Parentheses, so we solve everything inside of the parentheses first.

Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.

Multiplication, which is the My, and this happens from left to right.

And then division, which is the “Dear,” which also happens left to right.

And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”

Answer:

Step-by-step explanation:

The perimeter of a circle is 2πr

r here is 7 so the perimeter of the full circle is 14π which is 43.9822972

But you only have half a circle, so 43.9822972 / 2 = 21.991148.

But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

Answer:

x=m-7-6

Step-by-step explanation:

Answer:

Find the "=0" points

in between the "=0" points, are intervals that are either

greater than zero (>0), or

less than zero (<0)

then pick a test value to find out which it is (>0 or <0)

Regression equations are used to represent the relationship between the x and y variables.

The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

Using a graphing calculator, we have the following parameters

The regression equation is represented as:

[tex]\mathbf{y =bX +a}[/tex]

Where:

[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

So, we have:

[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]

[tex]\mathbf{b = -0.39}[/tex]

Also, we have:

[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

This gives:

[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]

[tex]\mathbf{a = 467.84}[/tex]

Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]

[tex]\mathbf{y =-0.39X +467.84}[/tex]

Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

See attachment for the scatter plot

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Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

1. None, it makes a cylinder

2. C

3. B

4. A

v(value)=6000-0.15t(years)

Part B would be $445.50

4.$3132.03

5$2662.23

6$2262.89

7$1923.46

8$1634.94

9$1389.70

10$1181.24

11$1004.05

12$853.45

13$725.43

14$616.61

15$524.12

16$445.50

Answer:

30 eggs.

Step-by-step explanation:

Cracked eggs: 120 x 25/100

=> 120 x 1/4

=> 30 eggs.

Therefore, 30 eggs are cracked.

Hoped this helped.

Answer:

going up by 2 numbers

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

C:4/8+2/8+1/8

brainlist me please

Answer:

The answer is 19s +23

Step-by-step explanation:

You add together all the sides and simplfy down.

4s+10+s+4+4s+10+10s-1

Add all the like terms

until it gets to 19s+23

Answer:

19s + 23

Step-by-step explanation:

P = 2(4s + 10) + s+4+19s-1

P = 8s + 20 + s + 4 + 10s - 1

P = 19s + 23

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

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Answer:

y=0.76

Step-by-step explanation:

5-8/3 = 3y

(5-8/3) x 3 = 3y x 3

6.9=9y

9y=6.9

y=6.9/9

y=0.76

Answer:

subtract the actual measurement from the initial measurement

ie. 92-90.3 =1.7 %

You can calculate the error and then measure how much percent of the real value, the error came.

The percent error in the considered measurement is of approx 1.88%

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]

Sine in the given condition, we have:

Thus, we have

Error = 90.3 - 92 = -1.7 miles per hour

Thus, the percent error is calculated as:

[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]

Thus,

The percent error in the considered measurement is of approx 1.88%

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Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Answer:

The perimeter of this triangle is 33m.

We can find this by knowing a few things.

1. All sides of this triangle are the same because all the angles are the same.

2. This is an equilateral triangle.

The first thing we need to do is find out what x equals. We can do this by taking 2 of the equations and setting them up like so...

[tex]( 7x - 17 ) = ( 4x - 5 )[/tex]

Then we can plug this into a calculator and find out that x equals 4. And from there we can plug that x value into the equation. And since all sides are the same we just need to find the length of one side and multiply that by 3. So...

[tex]2x+3 = (2*4) +3[/tex]

Then we do some simple math to find that one side has a length of 11m so the entire perimeter is 33.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

Answer:

The answer would be A. -42

Answer:

-145/63

Step-by-step explanation: