The position of a 50 g oscillating mass is given by x(t)=(2. 0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine:.

The starting point of the number line drawn using the age is zero

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers on the left of zero are all negative, whereas the numbers on the right of zero are all positive.

The starting point of the number line drawn using the age is zero and it is why because every human life starts at the age of months/years.

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Option (a) is correct, i.e., the equation of the line in point-slope form with given slope -2/3 passing through the given point (2,-3) is y+3 = -2/3 (x-2).

Point slope form is used to represent a straight line using its slope and a point on the line.

The equation of a line in point-slope form whose slope is 'm' and which passes through a point (x₁ ,y₁) is

y - y₁ = m (x-x₁).

Here we have slope m= -2/3 and the point (x₁ ,y₁) = (2,-3).

Therefore, the point-slope form of the equation is

             y- (-3) = - 2/3 (x-2)

        ⇒ y + 3= -2/3 (x-2).

       ⇒ Option(a) is correct.

Therefore, equation of the line in point- form slope is y+3 = -2/3 (x-2).

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Answer: All of them are integer

Step-by-step explanation:

They are all integer.

The equation that represents each of the figure in slope intercept form are

equation of the left side - y = 3x + 2

equation of the right side - y = 3x - 4

equation of the top side - y = 5

equation of the bottom side - y = -1

The the slope intercept form has the formula

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

The left and right side's slopes require calculation however the top and bottom slope is zero

equation of the left side

The points used for the slope is gotten from the graph as (1. 5)  (0, 2)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (2- 5) / (0 - 1)

= -3 / -1

= 3

writing the equation using points (0, 2)

(y - y₂) =  m(x - x₂)

y - 2 = 3(x - 0)

y = 3x + 2

equation of the right side

The points used for the slope is gotten from the graph as (5. 5)  (3, -1)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 5) / (3 - 5)

= -6 / -2

= 3

writing the equation using points (3, -1)

(y - y₂) =  m(x - x₂)

y - -1 = 3(x - 3)

y + 1 = 3x - 3

y = 3x - 4

equation of the top side

the top side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is 5 hence

y = 5

equation of the bottom side

the bottom side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is -1 hence

y = -1

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Answer:

900kW

Step-by-step explanation:

3kW = 1 month

xkW = 25 years

First, change 25 years into months:

12 months = 1 year

Therefore,

25 years = 12 × 25

= 300 months

If

3kW = 1 month

x = 300 months

cross-multiply

Hence,

1 monthX = 300 months × 3kW

= 900kW months

Divide both sides by the coefficient of X

X = 900kW months / 1 month

= 900kW

Therefore, Jalen's first trip will take 900kW

The values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

Given the function is,

y = x²-5x+3

Finding the values we get,

substituting the value x=-1 we get,

y = (-1)²-5(-1)+3 = 1+5+3 = 9

substituting the value x=0 we get,

y = 0²-5*0+3 = 3

substituting the value x=1 we get,

y = 1²-5*1+3 = 1-5+3 = -1

substituting the value x=2 we get,

y = 2²-5*2+3 = 4-10+3 = -3

substituting the value x=3 we get,

y = 3²-5*3+3 = 9-15+3 = -3

substituting the value x=4 we get,

y = 4²-5*4+3 = 16-20+3 = -1

substituting the value x=5 we get,

y = 5²-5*5+3 = 25-25+3 = 3

substituting the value of x=6 we get,

y = 6²-5*6+3 = 36-30+3 = 9

Hence the values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

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Answer:

425 Miles

Explaination:

Please give the brainliest.

Answer:

picture please

Step-by-step explanation:

pic please

The corresponding measurements for angles A and B are 123° and 57°

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

    = 145-22

    = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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Answer:The corresponding measurements for angles A and B are 123° and 57°

The corresponding measurements for angles A and B are 123° and 57°

How to find the measurements of the angles?

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

   = 145-22

   = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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Value of x for the given expression x√2 + 3 = -2 is equal to (- 5√2)/2.

As given in the question,

Given expression is equal to :

x√2 + 3 = -2

Simplify the given expression x√2 + 3 = -2 to get the value of x we have,

x√2 + 3 = -2

Subtract 3 from both the side of the given expression we get,

x√2 + 3 - 3 = -2 - 3

⇒ x√2 + 0 = -5

Divide by √2 from both the side of the expression,

x√2/√2= -5/√2

⇒x = -5/√2

Multiply and divide by √2 on right-hand side we get

⇒ x = -5√2/ (√2×√2)

⇒ x= -5√2/2

Therefore, value of x for the given expression x√2 + 3 = -2 is equal to

(- 5√2)/2.

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The volume of the cylinder with radius(r) 7 inches and height(h) 9 inches

is 1384.74 cubic inches.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, a cylindrical shape of radius(r) 7 inches and height(h) 9 inches.

We know the volume of a cylinder is πr²h.

∴ The volume of this cylinder is

= π×(7)²×9 cubic inches.

= 441π cubic inches.

= 1384.74 cubic inches.

For the volume of a sphere, it is (4/3)πr³.

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The value of a is = 4/3.

From the given figure:

((3/4)a+4)3 = 15

(3a+4*4 / 4)3 = 15

(3a + 16 / 4)3 = 15

3a*3 + 16*3 = 15*4

9a + 48 = 60

9a = 60 - 48

9a = 12

divide by 9 on both sides

9a/9 = 12/9

a = 12/9

= 4/3.

Therefore the value of a is = 4/3.

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A contingency table is a table in which frequencies correspond to two variables.

Explanation:

What is frequency table?

What does "two way frequency table" mean?

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the answer is (A) according to the cosine rule a^2=b^2+c^2-2(b)(c)cos(A)

answer:19.8 should be the answer?

Step-by-step explanation:

Answer: its (C) 26%

Step-by-step explanation:

its easy you just have to do addition

Marginal relative frequency are the column totals and row totals without the 100% there, so basically all the blank spaces are marginal relative frequencies

And to calculate the marginal relative frequency for students who prefer cycling as their preferred type of exercise is 12% +14% = 26%

I also do flvs so believe me

Answer:

26, C

Step-by-step explanation:

I did the quiz

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

Answer:

Step-by-step explanation:

Ok:

1. Straight out Multiplication. Denominator to denominator and numerator to numerator!

3/5*6/7=

18/35=

Answer: 18/35

Pls. Click on the crown for brainliest.!

Thank you !

Answer: -5/2

Step-by-step explanation:

Using slope formula which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] you can substitute in the numbers which leads you to getting [tex]\frac{-1-4}{-3-(-5)}[/tex] which equals to -5/2

Using percent method we can solve the problem. Kal's acting class is 40 minutes long in total.

In which he practices lines about 28 minutes.

let "x minutes" be the total timing of kal's acting class .

Percent is always running between 0 to 100 where 0 % means nothing and 100% total about which we are considering the percent.

so, here x mintues is equal 100% timing

we have given that, kal practice lines for 28 minutes at his acting class and in percent form his timing is equal to 70% .

That's 70% time of entire acting class = 28 min

but we have to find the 100% of entire acting class i.e x minutes

Now, 70% time of entire class = 28 minutes

1% time of entire acting class = 28/70 minutes

100% time of entire acting class i.e x = ( 28/70)100

= 40 minutes .

So, the entire kal's acting class runs for 40 minutes .

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to get the equation of any straight line, we simply need two points off of it, let's use the ones in red provided in the table in the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{4}{3 +3} \implies \cfrac{ 4 }{ 6 } \implies \cfrac{2 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{2 }{ 3 }}(x-\stackrel{x_1}{(-3)}) \implies y -2 = \cfrac{2 }{ 3 } ( x +3) \\\\\\ y-2=\cfrac{2 }{ 3 }x+2\implies {\Large \begin{array}{llll} y=\cfrac{2 }{ 3 }x+4 \end{array}}[/tex]

Answer:

Step-by-step explanation:

V(x) = x3 + 2x2 - 11x - 12

To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term).  The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2.  So the volume polynomial factors to:

V(x) = (x+4)(x-3)(x+1)

Now the volume of a rectangular box is:

V = Length*Width*Height = (x+4)(x-3)(x+1)

So let's pick height = (x+1) = 4.5  (you could pick any one of the three factors).

x+1 = 4.5

x = 3.5

Length = (x+4) = 3.5+4 = 7.5

Width = (x-3) = 3.5 - 3 = 0.5

The box's dimensions are 7.5 m by 0.5 m by 4.5 m

Please add an image or some more data.

The dimensions of the rectangle are, length = 5 inch and width = 6 inch.

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is an irregular shape with four equal sides.

Let, the length of a rectangle is  7 inches less than twice the width, w, of the rectangle.

Suppose,

width = w = x, then,

length = l = 2x - 7

Since the area of the rectangle is 30 square inches.

We know that.

Area of rectangle = length x width

                        30 = (2x - 7) x (x)

                        30 = 2x^2 - 7x

     2x^2 - 7x - 30 = 0

2x^2 - 12x + 5x - 30 = 0

2x(x - 6) + 5(x - 6) = 0

      (2x + 5)(x - 6) = 0

⇒ 2x + 5 = 0,     x - 6 = 0

⇒ x = -5/2,           x = 6

Since length is not negative.

Therefore, w = 6.

So, l = 2(6) - 7 = 12 - 7 = 5

Hence, the length is 5 inches and the width is 6 inches.

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The probability of type I error if the new blood test is used is 0.05

Given data;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05

The null hypothesis is: "The individual does not have the disease."

The type I error occurs when we reject the null hypothesis, but it was true in reality.

Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.

⇒ 0.05

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Answer:

each kiwi costs $2.40

Step-by-step explanation:

we set up our system of equations

x = bag of apples

y = kiwi

x + 16y = 43.7

x + 6y = 19.7

multiply any one of the equations by -1 to make x negative

-1(x+6y) = -1(19.7)

-x - 6y = -19.7

add the other equation and the new equation

   -x - 6y = -19.7

    x + 16y = 43.7

+ ____________

   10y = 24

divide by 10 both sides

y = 2.4

we can also look for the cost of each bag of apples

plug in the y value to an original equation

x + 16(2.4) = 43.7

simplify

x + 38.4 = 43.7

subtract 38.4 from both sides

x = 5.3

The total amount of money the siblings earned is equal to $1504.5.

From the information provided, the total number of hours worked is represented by this mathematical expression:

10h + 15

where:

h represents the number of hours Michael worked.

Next, we would determine the number of hours Michael worked by summing up all of the total number of hours worked by each of the four siblings and equating it to the total number of hours worked:

2.5(h + 3) + 4(h - 2) + 31 + h = 10h + 15

7.5h + 26 = 10h + 15

10h - 7.5h = 26 - 15

2.5h = 11

h = 4.4 hours.

For the total number of hours worked by each of the four siblings, we have:

Total hours = 10h + 15

Total hours = 10(4.4) + 15

Total hours = 44 + 15

Total hours = 59 hours.

At a rate of $25.50 per hour, the total amount the siblings earned is given by:

Total earnings = $25.50 × 59

Total earnings = $1504.5.

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Complete Question:

Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15 , where h represents the number of hours Michael worked. What was the total amount the siblings earned?