A bus covers a distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr find the average speed of the bus and draw a graph for this.

   y4 = sin x is the smallest positive integer n .

What is a positive integer, exactly?

What is a positive integer example?

A whole number, or a number whose decimal portion is 0, is another name for an integer. 72 is an illustration of a positive integer.

y = sin x

1 derivative of sin x -

y' =  cos x

2 derivative of cos x

y'' =  - sinx

3 derivative of sinx

y''' = - cos x

4 derivative of cos x

[tex]y^{(4)} = sinx[/tex]

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The number of years to the nearest hundredth is t = 21 years and 3 months.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

A = $25,600

P = $29,00

r = 10.4 = 0.104

n = 4

[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]

After solving:

t = 21.212 years

Or

t = 21 years and 3 months

Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.

The complete question is:

How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?

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Silvio wants to find the perimeter of quadrilateral abcd. he begins by computing the length of side ab using the distance formula. finish silvio’s work to find the length of side ab. The perimeter of quadrilateral abcd is 20 units.

The total length of a shape's boundary is referred to in geometry as the perimeter of the shape. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides times the length of a side.

We use the general method to get the perimeter of an irregular shape since the sides of an irregular polygon might not all be the same length.

Therefore, the irregular polygon's perimeter equals the total of its sides.

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Answer:

1/2

Step-by-step explanation:

Rise over run. The rise is 4 the run is 8. Simplify.

The fraction is $[tex]\frac{421}{99}[/tex] and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]

The cost of manufacturing computer components is $4.25252525

To find the repeating decimal; cost as a fraction

Since we have two digits repeating decimal place, we multiply 100 and shift two digits

⇒$4.252525×100=$425.252525{using operation multiplication}

Now subtract the original number from this

⇒$425.252525-$4.252525=$421.00000 {using operation subtraction}

Now,

100×(fraction)-(fraction)=$421.00000 {using operation subtraction}

99(fraction)=$421.00000{ using operation division}

The Fraction=$[tex]\frac{421}{99}[/tex]

The mixed fraction is $4 [tex]\frac{25}{99}[/tex]

Therefore, The fraction is $[tex]\frac{421}{99}[/tex] , and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]

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The answer is 8 markers

Step-by-step explanation:

Since all children are collecting markers from Rachel who has 15 markers, the equation will be:

Markers Left = 15 - 4- 3

Markers Left = 11 - 3

Markers Left = 8

The difference between 0.2 and 0.2 repeating is that 0.2 is that rational number and 0.2 repeating is the rational number.

For the two given values;

0.2 is the rational number as it can written in the fraction form as;

0.2 = 2/10

0.2 = 1/5 which is in the p/q form.

For the value of 0.2... repeating is also the rational number as it can be also written in the form of p/q.

0.2... = 0.2 bar is the correct representation.

Therefore, the number 0.2 and 0.2 repeating are the rational numbers.

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The coordinates of the other endpoint U are found to be (Xu, Yu) = (10, 5).

The coordinates are a pair of numbers which characterize the exact location of a point on a cartesian plane through using horizontal and vertical lines.

Now, as per the question.

To find the coordinates of U, use the midpoint formula with the coordinates of points u and v (Xv, Yv) and (Xm, Ym) respectively.

Let's refer to them as (Xu, Yu)

Midpoint formula {(Xv + Xu)/2, (Yv + Yu)/2)}

Fill in the recognized coordinates as needed.

Point V at (10, 7) =  (Xv, Yv)

Midpoint, point M at (10, 6) = (Xm, Ym)

For the x coordinates;

(10 + Xu)/2 = 10

Xu = 10.

Similarly for the y coordinate;

(7 + Yu)/2 = 6

7 + Yu = 12

Yu = 5

We can test this by plugging U's coordinates into the midpoint formula.

(10 + 10)/2 = 20/2 = 10

(5 + 7)/2 = 12/2 = 6

Therefore, the coordinates of the are (Xu, Yu) = (10, 5).

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Answer:

5.6

Step-by-step explanation:

.30*12+x=.40(12+x)

3.6+x=4.8+.40x

x-.40x=4.8-3.6

.6x=1.2

x=1.2/.6

x=2 gallons of acid needs to be added.

Proof:

.30*12+2=.4(12+2)

3.6+2=.4*14

5.6=5.6

Answer:

165

Step-by-step explanation:

x² + 8x + 12 =

= (9)² + 8(9) + 12

= 81 + 72 + 12

= 153 + 12

= 165

Answer:

-165

Step-by-step explanation:

(-9)2+8×-9+12

-81-72+12

-81-84

-165 answer.

Answer:

11

Step-by-step explanation:

Plug 4 into the x, 6(4) = 24

24 - 13 = 11

Answer:

There are no values of x that make this equation true.

Step-by-step explanation:

We know h(x)=[tex]\sqrt{x-3} +5[/tex]

So lets substitute h(x) for 3

3=[tex]\sqrt{x-3}+5[/tex]

We are going to then subtract 5 from each side leaving us with

-2=[tex]\sqrt{x-3}[/tex]

We then need to get rid of the square root, so we will square both sides. which gives us

4=x-3

We then need to subtract 3 from both sides which leaves us with

x=1

However, when you substitute 1 for x into the original equation, you get

h(x)=[tex]\sqrt{-2}+5[/tex]

Which is not equal to 3

Therefore, there are no values of x that make this equation true.

Answer:

31/35

Step-by-step explanation:

3/5 + 2/7 = (3 × 7) / (5 × 7)  + (2 × 5) / (7 × 5)

= 21/35 + 10/35

= 31/35.

Answer:

1.6

Step-by-step explanation:

cookies : sugar

 2.5       :   2

   2        :   x

Cross multiply

2*2 = 2.5x

4 = 2.5x

4/2.5 = x

x = 1.6

The Perimeter of the quadrilateral = 16.93 units

The perimeter of the quadrilateral with the given vertices is the sum of the distance between every vertices.

Calculate the distance between the vertices using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the vertices as shown below:

A(1,4)

B(-1,-2)

C(2,0)

D(4,0)

Distance between A and B:

AB = √[(−1−1)² + (−2−4)²]

AB = √(4 +36)

AB = 6.32 units

Distance between B and C:

BC = √[(−1−2)² + (−2−0)²]

BC = 3.61 units

Distance between C and D:

CD = √[(4−2)² + (0−0)²]

CD = 2 units

Distance between A and D:

AD = √[(4−1)² + (0−4)²]

AD = 5 units.

Perimeter of the quadrilateral = AB + BC + CD + AD = 6.32 + 3.61 + 2 + 5

Perimeter of the quadrilateral = 16.93 units

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Answer:

It is the size of a cube that is 1 yard on a side. It is about 202 gallons or about 765 liters. A cubic foot is a unit of volume. It is the size of a cube that is 1 foot on a side. It is about 7.5 gallons or about 28.3 liters. Cubic Yards to Cubic Feet Conversions (some results rounded)

Step-by-step explanation:

The difference quotient of the function that has been presented to us will turn out to be 5.

In this step, we wish to determine the difference quotient for the function that was supplied.

To begin, keep in mind that the difference quotient may be calculated by:

Lim h->0 [tex]\frac{f(x+h)-f(x)}{h}[/tex]

Now, for the purpose of the function, we need this:

Then we will have:

[tex]$$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$$[/tex]

j(x) = 5x - 3

Then the following will be true:

Therefore, 5 is the value of the difference quotient for j(x) is %

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Answer:

(x-2y){5-(x-2y)}

=(x-2y)(5-x+2y)

Answer: √247

Step-by-step explanation:

15^2=225. 16^2=256. n=number

n^2>225 and n^2<256

√225=15.

√247=15.7 ==> 2nd option. 247>225 and 247<256. 15.7>15 and 15.7<16

√256=16

√265=16.3

Answer:

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Step-by-step explanation:

    We will use the midpoint formula to solve.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]

[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

The difference between the two points ; (-3,10 )

given

(-4,-1)  and (1,-9)

here we have to find the difference between -4 and -1

which is -3 so u go -3 spaces left so it would be -3

then , find the difference between 1 and -9 which is 10 so u go 10 spaces down so the difference between is;

(-3,10).

therefore the distance between two point are (-3,10)

Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.to know more about distance.

We will use the distance formula in order to find the distance between points a and b. By substituting the points A(3, 4) and B(1, 2) in the above formula we get our required distance d. Hence, distance d = 2√2 units

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Answer:

50 + 20h

Step-by-step explanation:

In determining whether a process is in statistical control, the R-chart should be analyzed first.

Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.

A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.

When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.

Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.

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We get the surface area as 202 inches² and volume as 168 inches³.

The surface area of a cuboid is given by:

Surface area = 2xy + 2xz + 2yz

Here length = x = 7 inches

Breadth = y = 3 inches

Height = z = 8 inches.

Substituting the values in the formula, we get that:

Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²

A = 42 + 112 + 48 inches²

A = 42 + 160 inches²

A = 202 inches²

Volume of a cuboid is given by :

Volume = xyz

Substituting the values, we get that:

Volume = (7) (3) (8) inches³

Volume = 21 × 8 inches³

Volume = 168 inches³.

Therefore, we get the surface area as 202 inches² and volume as 168 inches³.

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The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.

If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

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1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)

2) The solution to the given quadratic equation is; x = 5/6 or -2

1)  (2x - 3)² = 18

To fid the value of x, we can solve by first taking the square root of both sides to get;

√(2x - 3)² = ±√18

Add 3 to both sides using addition property of equality to get;

2x - 3 = ±3√2

2x = 3 ± 3√2

x = ¹/₂(3 ± 3√2)

2) 2(5x + 2)² = 64

To fid the value of x, we can solve by first  dividing both sides to get;

(5x + 2)² = 32

Take square root of both sides to get;

(5x + 2) = ±8

Subtract 2 from both sides using subtraction property of equality to get;

5x + 2 = ±8

5x = ±8 - 2

5x = 6 or 5x = -10

x = 5/6 or -2

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Answer:

56.25π in²

Step-by-step explanation:

The area of a circle is given by πr², where r is the radius of the circle.

Given that the diameter is 15 inch, let's calculate the radius.

Diameter= 2 ×radius

Radius

= 15 ÷2

= 7.5 in.

Applying the formula for area of circle,

area of circle

= π(7.5)²

= 56.25π in²

Since the question requires for the answer to be in terms of π, we have arrived at our answer.

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Answer:

k but pls put the question so you that will get support:-)