In a 5-match test series, Indian team won 60 percentage of matches.find how many matches lost by Indian team,

Answer: She was at the park For 12 minutes.

She walked at her slowest speed for 7 minutes

Step-by-step explanation:

Answer:

y=-3/2x+9

Step-by-step explanation:

Answer:

y = 9 - \(\frac{3}{2}\) x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

6x + 4y = 36 ( subtract 6x from both sides )

4y = - 6x + 36 ( divide all terms by 4 )

y = - \(\frac{3}{2}\) x + 9

or

y = 9 - \(\frac{3}{2}\) x

The series converges absolutely since there exist a p-series with p=6, and since p>1, therefore series converges absolutely.

To determine whether the series ∑(n=1 to infinity) (−1)^n(1 + 1/n^6) converges absolutely, conditionally, or not at all, we need to analyze the terms of the series.

First, let's check for absolute convergence. To do this, we take the absolute value of the terms in the series:
| (−1)^n(1 + 1/n^6) | = | (−1)^n | * | 1 + 1/n^6 |

Since | (−1)^n | = 1, this simplifies to:
| 1 + 1/n^6 |

Now, we need to test this new series for convergence. We can use the comparison test, by comparing it to the series ∑(n=1 to infinity) (1/n^6), which is a p-series with p = 6.

Since 6 > 1, the p-series converges, and because 1 + 1/n^6 > 1/n^6 for all n, the original series also converges absolutely.

Therefore, the series ∑(n=1 to infinity) (−1)^n(1 + 1/n^6) converges absolutely.

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The answer is A. The Root Test says that the series converges absolutely.

For the series 3-sin(n), we can use the Comparison Test to determine its convergence. Since sin(n) is bounded between -1 and 1, we have 3-sin(n) ≥ 2 for all n.

Therefore, we can compare it to the series 2+2+2+..., which diverges since its partial sums increase without bound. Thus, the series 3-sin(n) also diverges.

For the series Σ(0,∞) (-1)^(n-1) (2n)/(4n+2), we can use the Root Test to determine its convergence. Taking the nth root of the absolute value of the nth term, we get:

\(lim (n→∞) [(2n)/(4n+2)]^(1/n)= lim (n→∞) [2/(4+2/n)]^(1/n)= 1/√2\)

Since the limit is less than 1, the series converges by the Root Test. Therefore, the answer is A. The Root Test says that the series converges absolutely.

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Answer:

y = 1/3x - 6

Step-by-step explanation:

2x - 6y = 36

-6y = -2x+36

y = 1/3x - 6

Answer:

So what is the question?

Step-by-step explanation:

So what is the question?So what is the question?So what is the question?So what is the question?So what is the question?So what is the question?

Answer: yes it is

Step-by-step explanation:

Common difference -2

Answer:

C.

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

C shows it being anything below six, and if x is less than six this is the correct answer.

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

Answer:

t = 10.70375

Step-by-step explanation:

8563=800t

Divide by 800 on both sides

t = 10.70375

The surface area of the cylinder is approximately 401.92 square centimeters. To find the surface area of the cylinder, we need to add the area of the top and bottom circles to the area of the lateral surface.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π ≈ 3.14.

Given that the radius is 8 cm and the height is also 8 cm, we can plug in the values in the formula:

SA = 2π(8²) + 2π(8)(8)

SA = 401.92

Rounding to the nearest hundredth, we get:

SA ≈ 401.92 square centimeters

Therefore, the surface area of the cylinder is approximately 401.92 square centimeters.

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Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.

Now,

Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

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The question is to solve the differential equation x'=2(100-x)

or, dx/dt=200- 2x

or, ∫dx/(200-2x) = ∫dt.  Now, put 200-2x=z. Or, -2dx=dz.

substituting the variables, we get

-(1/2)∫dz/z= dt

or, -(1/2) ㏑z= t + ㏑c

or, ln z= -(2t+ 2*㏑c)

or, z= (1/c²)*exp(-2t) substituting the value of x in z and 1/c²=c1

x= (200- c1* exp(-2t))/2  putting c1/2=c2

or, x= 100- (c2*exp(-2t)).

x(0) =80 or, 100-80= c2 or, c2=20

so, x= 100- (20*exp(-2t))

now x(t)=40, or, 40=100- (20*exp(-2t))

or, 60/20= exp(-2t)

or, ㏑3=-2t

or, t= -0.54

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Answer:223

Step-by-step explanation:

Answer:

25 cm^2

24 cm

Step-by-step explanation:

5*5 = 25 cm^2

Make sure not to forget the cm^2, otherwise you will get it wrong

10 + 14 = 24 cm

this is only perimeter so only cm

Answer:

25 cm²

24 cm

Step-by-step explanation:

Area of a Square: A = lw

Since the sides of a square are all the same, we have A = 5(5) = 25 cm²

Perimeter of a Rectangle: 2w + 2l

Simply plug it in:

P = 2(7) + 2(5)

P = 14 + 10

P = 24 cm

Answer:

HK/KJ or IG/LJ

Step-by-step explanation:

When two triangles are congruent, their corresponding parts are equal (CPCTC)

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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Answer: 216 in ^3

Explanation:

18 x 3 x 12 = 648

648 / 3 = 216 in ^3

I hope this helped!

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The number of angles that are formed by the intersection of the diagonals is 4.

A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.

It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.

Square area = Side²

The square's perimeter = 4 sides

Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.

Therefore, the correct option is 4.

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Complete question

How many angles are formed by the intersection of the diagonals in a square?

Answer: 92

Step-by-step explanation:

Here's our set-up:

(70 + 75 + 80 + 83 + x) / 5 = 80

Simplify:

(308 + x) / 5 = 80

Multiply both sides by 5:

308 + x = 400

Subtract 308 from both sides:

x = 92

Answer:

92

Step-by-step explanation:

In order to get an 80 in 5 tests, he needs to accumulate 400 points.

If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

Answer:

m = 2/3

Step-by-step explanation:

Pick two points and use the slope formula to find the slope/rate of change. I'll use (3, 2) and (6, 4).

Slope formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{4-2}{6-3}\\\\m=\frac{2}{3}\)

Therefore, the slope of the table is 2/3.

Step-by-step explanation:

There are TWO triangles with base = 10  height = 24

   area of a triangle = 1/2 b* h  = 1/2 (10)(24) = 120 cm^2

        TWO of them totals 240 cm^2

then there is also THREE sides

 10 x 20       +   26 x 20       +     24 x 20 = 1200 cm^2

Add the two triangles to this to get the total surface area = 1440 cm^2

Step-by-step explanation:

Nun much take "w"outside from dis equation

w²-5w= w(w-5)

Answer: On the first day, Shelly rode 10 miles on first day.

On the second day, Shelly rode 8 miles.

On the third day, Shelly rode 12 miles.

Step-by-step explanation:

Let x = distance rod eon first day.

Shelly rode her bike a total of 30 miles over a three-day period.

Then as per given,

Distance rode on second day = \(\dfrac45x\)

Distance rode on third day \(=\dfrac32\times\text{ Distance rode on second day}\)

\(=\dfrac32\times\dfrac45x=\dfrac{6}{5}x\)

Total distance rode = \(x+\dfrac45 x+\dfrac65x=30\)

\(\Rightarrow\ \dfrac{5x+4x+6x}{5}=30\\\\\Rightarrow\ \dfrac{15x}{5}=30\\\\\Rightarrow\ 3x=30\\\\\Rightarrow\ x=\dfrac{30}{3}\\\\\Rightarrow\ x=10\)

Hence, She rode 10 miles on first day.

Distance rode on second day = \(\dfrac45\times10=4\times2=8\text{ miles}\)

Distance rode on third day \(=\dfrac{3}{2}\times8=3\times4=12\text{ miles}\)

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5

To evaluate the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), we first need to parameterize the curve c.

Let t be the parameter such that

x = -1 + 5t,

y = 3 - t,

for 0 ≤ t ≤ 1.

The length of the curve c is given by the integral ∫ c ds, which can be calculated using the formula ∫ a to b \(√(dx/dt)^2 + (dy/dt)^2\) dt. Plugging in the values from the parameterization, we get

\(∫ c ds = ∫ 0 to 1 √(5^2 + (-1)^2) dt = ∫ 0 to 1 √26 dt = √26.\)

Using the parameterization, we can now write the integral as

\(∫ c (3x y) ds = ∫ 0 to 1 (3(-1+5t)(3-t)) √(5^2 + (-1)^2) dt = 78√26/5.\)

Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5.

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The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

We can do this by letting x = t and y = 3 - t/2, where -1 ≤ t ≤ 4.

Then, we can find ds/dt using the formula \(ds/dt = \sqrt{(dx/dt^2 + dy/dt^2)}\), which simplifies to

\(ds/dt = \sqrt{(1 + 1/4) } = \sqrt{(5)/2} .\)

Next, we can substitute x and y in terms of t into the integrand and simplify to get:

\(3x y = 3t(3 - t/2) = 9t - (3/2)t^2\)

Now, we can evaluate the integral by integrating with respect to t from -1 to 4:

\(\int c (3x y) ds = ∫ from -1 to 4 (9t - (3/2)t^2) (\sqrt{(5)/2)}  dt\)

\(= (\sqrt{(5)/2)}  [ (9t^2/2) - (3/8)t^3 ] evaluated from -1 to 4\)

\(= (\sqrt{(5)/2)}  [ (81/2) - (243/8) - (-27/8) + (3/8) ]\)

\(= \sqrt{(5)/2)}  [ (189/8) ]\)

= 22.229
Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

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Answer:

21 pencils for Nick and 63 pencils for Lance

Step-by-step explanation:

Now let's make an equation out of the information above:

3x + x = 84

Now solve for x.

3x + x = 84

4x = 84

x = 84/4

x = 21

So Nick has 21 pencils

Now for Lance:

3x

3 * (21) = 63

So Lance has 63 pencils

63 + 21 = 84 pencils

Answer: $423042

Step-by-step explanation:

Here's the complete question:

Heart Lake Developments sold four lakefront lots for ​$27,500 per hectare. If the sizes of the lots in hectares were 5 1/2, 2 4/5, 2 3/4 and 4 1/3 respectively, what was the total sales revenue for the four​ lots?

This will be:

= 5 1/2 × 27500 = 151250

= 2 4/5 × 27500 = 77000

= 2 3/4 × 27500 = 75625

= 4 1/3 × 27500 = 119167

Total sales = 151250 + 77000 + 75625 + 119167 = 423042