A particle is moving on the x-axis and the position of the particle at time t is given by x(t), whose graph is shown above. Which of the following is the best estimate for the speed of the particle at time t=4 ? Responses 0

The dilation of the geometric figure with a scale factor of 1/4 about the origin is: J' (-0.5, -0.25), K' (-0.25, 1), L' (0.75, 0.25), M' (0.75, -0.75).

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Note: Each interval on this graph represents 1 unit.

For the given coordinates, the dilation with a scale factor of 1/4 about the origin or center of dilation (0, 0) should be calculated as follows:

Point J (-2, -1) → Point J' (-2 × 1/4, -1 × 1/4) = Point J' (-0.5, -0.25).

Point K (-1, 4) → Point K' (-1 × 1/4, 4 × 1/4) = Point K' (-0.25, 1).

Point L (3, 1) → Point L' (3 × 1/4, 1 × 1/4) = Point L' (0.75, 0.25).

Point M 3, -3) → Point M' (3 × 1/4, -3 × 1/4) = Point M' (0.75, -0.75).

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Answer:

its true because standard deviation is the only way out to find any solution

Answer 2xy3

Step-by-step explanation: you basic combine 2(x+3) to get 2x + 6

Explanation

given

Step 1

a) (f+g) (x)

here we need to find a new function ( f+g) (x), this is the sum of the functions f and g, so to find it just add g(x) to f(x)

hence

so

Step 2

now, we have to evaluate that function for x= 9

so

so

I hope this helps you

The integer n = 25 is the only value so that the sector AOB is greater than 20 and less than 30.

In this problem we find the sector generated by line segments OA and OB, where O is the center of the circle and the points A and B are on the circle:

20 < 360 / n < 30

20 · n < 360 < 30 · n

First, we determine the factorial decomposition of 360:

360 = 2³ × 3² × 5

Second, find the value of n associated to each limit of the inequality:

Lower limit

360 = (2² × 5) × (2 × 3²)

360 = 20 × 18

n = 18

Upper limit

360 = (2 × 3 × 5) × (2² × 3)

360 = 30 × 12

n = 12

Third, find the values that are between 12 and 18:

x = 2³ × 3

x = 24

n = 360 / 24

n = 15

The only integer that satisfies the inequality is 15.

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Answer:

(a) The profit function is P(x) = 89x - 90,000.

(b) The company's profit at x=23,000 is 1,957,000.

Step-by-step explanation:

Given,

The cost function of the company is C(x)=90,000 +42x and

The revenue function is R(x) = 47x

where x is the number of radios.

(a)

The company's profit function, P, is from producing and selling x radios is

The formula for profit:

Profit (P) = Revenue (R) - Cost (C)

P = R - C

P = 47x - 90,000 + 42x

P = (47x + 42x) - 90,000

P = 89x - 90,000

For (a), The company's profit function, P, from producing and selling x radios is P = 89x - 90,000

(b)

The radios produced and sold are 23,000

So, x = 23,000

putting x value in the profit function, P

P = 89x - 90,000

P = 89 x 23,000 - 90,000

P =  2,047,000- 90,000

P = 1,957,000

For (b), the company's profit at x = 23,000 is 1,957,000.

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Answer: (3,1)

Step-by-step explanation:

Answer:

b=-144

Step-by-step explanation:

b/24=-6

cross multiplication

b=24×-6

=-144

100$ before passengers. 25 is the price per person. 225 for 5 people to fly.

One variable can be used to solve a linear equation by moving the variables to one side of the problem and the numerical component to the other. As an example, the equation x - 1 = 5 - 2x can be solved by moving the numerical components to the equation's right side while leaving the variables on the left. Consequently, we get x + 2x = 5 + 1. 3x = 6 as a result. Consequently, x = 2. A linear equation with two variables has the formula Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and the two variables, x and y, each have a degree of one. 7x + 9y + 4 = 0, for instance, is a two-variable linear equation.

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Measure of EG is 9.5 cm.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. A triangle's third side is always equal to the sum of any two of its sides' lengths. Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle. As a polygon, a triangle.

Given Data

Lengths

EH = 24, GH = 24

The third side of a triangle is always equal to the sum of the lengths of any two of its sides.

24 = 9.5 + x + 24

9.5 = x

Measure of EG is 9.5 cm.

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The time taken by the ship to reach that distance will be 6 years.

Time is defined as the total duration of motion of an object in order to achieve some specific distance.

Given is an extrasolar which is observed at a distance of 4.2 x 10⁹ kilometers away. A group of scientist has designed a spaceship that can travel at speed of 7 x 10⁸ Kilometers/year.

Now, in order to calculate the time, we can use the simple formula as -

Time = distance / speed

Substituting the values -

Time [t] = (4.2 x 10⁹) / (7 x 10⁸)

Time [t] = 0.6 x 10

Time [t] = 6 years

Therefore, the time taken by the ship to reach that distance will be 6 years.

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[tex](\stackrel{x_1}{-15}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{70}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-15)}}} \implies \cfrac{-60}{5 +15} \implies \cfrac{ -60 }{ 20 } \implies - 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}{70}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-15)}) \implies y -70= -3 (x +15) \\\\\\ y - 70 = -3x - 45\implies {\Large \begin{array}{llll} y = -3x+25 \end{array}}[/tex]

Answer:

Step-by-step explanation:

We know that:

Use the given to find the missing function:

Answer:

[tex]{ \rm{f(x) = 4 - {x}^{2} }}[/tex]

[tex]{ \rm{(f - g)(x) = - {x}^{2} + x + 2}}[/tex]

- From functions;

[tex]{ \boxed{ \tt{(f - g)(x) = f(x) - g(x)}}} \\ \\ { \rm{ - {x}^{2} + x + 2 = (4 - {x}^{2} ) - g(x) }} \\ \\ { \rm{g(x) = (4 - {x}^{2}) + {x}^{2} - x - 2 }} \\ \\ { \boxed{ \rm{g(x) = 2 - x}}}[/tex]

x intercept is x = -12

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

x = 4y - 12

y = 0

x intercept is

x = -12

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Answer:

300

Step-by-step explanation:

We proved that [tex]\angle2\cong\angle4[/tex].

Given: [tex]\angle2[/tex] and [tex]\angle4[/tex] are vertical.

We have to prove [tex]\angle2\cong\angle4[/tex]

The [tex]\cong[/tex] means congruence which means [tex]\angle2[/tex] and [tex]\angle4[/tex] both have same size and angle. We have to show that they both have same size or angle to prove them congruence.

As we know that the value of straight line is [tex]180^{o}[/tex].

From the given figure we can see that

[tex]\angle1+\angle2=180^{o}[/tex]

[tex]\angle3+\angle4=180^{o}[/tex]

[tex]\angle1+\angle4=180^{o}[/tex]

[tex]\angle2+\angle3=180^{o}[/tex]

To prove the [tex]\angle2\cong\angle4[/tex] we subtract [tex]\angle1+\angle2=180^{o}[/tex] and [tex]\angle1+\angle4=180^{o}[/tex]

[tex]\angle1+\angle2-(\angle1+\angle4)=180^{o}-180^{o}[/tex]

We first simplify bracket. When we multiply with the subtraction sign then the sign under the bracket will changed.

[tex]\angle1+\angle2-\angle1-\angle4=0[/tex]

There have [tex]\angle1[/tex] in addition and subtraction then there only remains

[tex]\angle2-\angle4=0[/tex]

We can write that notation as

[tex]\angle2=\angle4[/tex]

Since [tex]\angle2=\angle4[/tex], that means they both have same angle.

So we proved that [tex]\angle2\cong\angle4[/tex].

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There are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Norman has a coin collection. There are 3 dimes for every 5 quarters in his collection.

3 dimes → 5 quarters

72 dimes →  x quarters

x = (5x72)/3

x = 120 quarters

Thus, there are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

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Answer:

120

Step-by-step explanation:

The mean absolute deviation of the amount  $39

What is Mean Absolute Deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

Given,

The amount she saved throughout the year

January         96

February       38

March            162

April               65

May                178

June               112

July                57

August           143

September    135

October         104

November     88

December     22

The mean of the data will be = 96+38+162+65+178+112+57+143+135+104+88+22/12

= 1200/12

=100

The mean would be 100

|data - mean value| = 96-100 = 4

38-100 = 62

162-100 = 62

65-100 = 35

178-100 = 78

112-100 = 12

57-100 = 43

143-100 = 43

135-100= 35

104-100 = 4

88-100 = 12

22-100 = 78

Now, sum of |data - mean values| = 468

The mean absolute deviation:

                                       =  sum of |data - mean values| / number of values

                                       = 468 / 12

                                       = 39

Hence, the mean absolute deviation of amounts she saved is $39

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Answer:

$38.35

Step-by-step explanation:

take $180 subtract $58.35 that will leave you with $125.65 then subtract $82.80 then that will leave you with $38.35

The value for h(-1) is 4

The value for  h'(-1) is 1

Given the tangent line to the graph of y=h(x) at the point (-1,4) passes through (3,6), to get h(-1) and h'(-1), we should calculate the following:

Gradient of the tangent line:

Gradient=change in y axis/change in x axis=Δy/Δx

Using the x and y coordinates (-1,4) and (3,6)

Gradient=(6-4)/(3--1)

             =2/4

            =1/2

Gradient=1/2 or 0.5

Equation of the tangent line:

This should be in the form of y=mx+c, where m is the gradient of the line

We use the gradient and one of the x and y coordinates get the equation of the tangent line

Gradient=change in y axis/change in x axis=Δy/Δx, and gradient was found as 1/2

Δy/Δx=1/2

(y-4)/(x--1)=1/2

(y-4)/(x+1)=1/2

2y-8=x+1

y=(1/2)x+4.5

Equation of the tangent line is y=(1/2)x+4.5 or y=0.5x+4.5

And y=h(x)

So, h(x)=0.5x+4.5

Calculate h(-1), here x=-1:

h(x)=0.5x+4.5

h(-1)=(0.5*-1)+4.5

      =4

h(-1)=4

Calculate h'(-1), x=-1:

Here we get the derivative of the equation of the tangent line h(x)=0.5x+4.5,

h'(x)=0.5x^0+0

h'(-1)=1+0

h'(-1)=1

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The solution is TRUE

What is union and intersection of sets?
The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the equation be x

x = A ∩ ( B' ∪ C' )

Now , from Distributive law of set

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

And , ( A ∩ B' ) = A - B

So , substituting the formulas in the equation , we get

x = A ∩ ( B' ∪ C' )

x = ( A ∩ B' ) ∪ ( A ∩ C' )

x = ( A - B ) ∪ ( A - C )

Hence , the solution is TRUE

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The entrepreneur make a profit of 200 BD .

In the question ,

it is given that ,

Amount for which the bookshop owner sells educational books to school students = 500 BD .

Amount of money paid to install new shelves = 300 BD .

So, the profit can be calculated using the formula

profit = (Amount for which the bookshop owner sells educational books to school students) - (Amount of money paid to install new shelves) .

Substituting the values from above , we get

profit = 500BD - 300 BD

= 200BD

hence , profit is 200 BD .

Therefore , the entrepreneur make a profit of 200 BD .

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For dilation, a figure's size and shape only change during transformation, but during translation, the size of the figure's image and preimage are congruent.

Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments. If any two line segments are equal in length, they are said to be congruent. If two angles have the same measure, they are said to be congruent.

Techniques for transformation: In a xy-plane, transformation involves changing the size and shape of an item.

Translation and dilation are a couple of the transformation methods used.

For dilation, a figure's size and shape only change during transformation, but during translation, the size of the figure's image and preimage are consistent.

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Shelby works for 5 hours to prepare 15 kgs of dough.

Here, we are given that Shelby prepared 9 kilograms (kgs) of dough after working 3 hours.

from this information we can calculate the amount of dough she can prepare in 1 hour.

3 hours ⇒ 9 kgs

1 hour ⇒ 9/3 kgs

9/3 = 3

Thus, she will prepare 3 kgs of dough in 1 hour.

Now, we are given that Shelby prepares 15 kgs of dough in all.

we have, 3 kgs ⇒ 1 hour

Thus, 15 kgs ⇒ 15/3 hours

15/3 = 5

Thus, Shelby works for a total of 5 hours to prepare 15 kgs of dough.

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Answer: 34.22

Find 41% of 58 first.

[tex]58*0.41=23.78[/tex]

The problem asks to decrease it, meaning you would subtract the percentage from 58.

[tex]58-23.78=34.22[/tex]

34.22

Answer: 179.07 this is ur answer

Step-by-step explanation:

The total surface area of the prism is 217 square inches.

In geometry, a prism is a polyhedron with n sides made of polygons, a second base that is a translation of the first base, and n additional faces that must all be parallelograms and connect the effective distribution of the two bases.

The base is a square with area = 49 square inches

Length of 1 side = √49 = 7 inches

Area of the triangular sides is given by the formula (1/2) × base × height

Area of each side

= (1/2) × base × height

= (1/2) × 7 × 12

= 42 square inches.

Total surface area

= 42 × 4 + 49

=217 square inches  

Therefore the total surface area is 217 square inches  

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