ravi scored 42 runs in 7 overs and sunil scored 63 in 9 overs. who scored more runs per over in ratio....,....... pls send urgent ^​

Answer:

16π/9

Step-by-step explanation:

40°/360° = 1/9

40° is 1/9 of a circle

Arc length = 1/9 of circumference = (1/9)2πr = 16π/9

Using dilation rules, the dilated triangle whose coordinates of the vertices are as follows: A'(-2 , 2), B'(-1,0), C'(1 , 2).

What is the rule for a dilation?

To dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x, y) -> (ax, ay).

suppose the coordinates of the vertices of ABC are given as follows:

A(-6,6), B(-3,0), C(3,6).

After a dilation with a scale factor of 1/3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-2 , 2), B'(-1,0), C'(1 , 2).

These coordinates are derived multiplying the coordinates of A, B and C by 1/3.

For the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by 2 to generate the dilated triangle.

Answer:

the formula is

y = mx + b

slope is m which is -3

y int = b which is 0

you get

y = -3x + 0

Answer:

The common factors for 4,8 are −4,−2,−1,1,2,4 - 4 , - 2 , - 1 , 1 , 2 , 4 .

Step-by-step explanation:

There ya go, mate.

The greatest common factor of the expression 4x + 8 will be 4.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given expression,

4x + 8

The highest number that can be take common in the above expression is 4 as,

4(2x + 2)

Thus, 4 will be the GCF.

Hence "The greatest common factor of the expression 4x + 8 will be 4".

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A because 25 percent of tje

Step-by-step explanation:

your welcome

An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.

To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.

The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.

A = P(1+r/n)^(nt)

A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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Answer:

(A) -76

(B) 4/81

(C) -1/16

(D) 3

Step-by-step explanation:

It is given that u and v are functions of x and are differentiable at x=0 and that u(0) = -8, u'(0) = -4, v(0) = 9, and v'(0) = 5. We are asked to find the following derivatives at x=0.

(A) - \(\dfrac{d}{dx}[uv]\)

(B) - \(\dfrac{d}{dx}\Big[\dfrac{u}{v} \Big]\)

(C) - \(\dfrac{d}{dx}\Big[\dfrac{v}{u} \Big]\)

(D) - \(\dfrac{d}{dx} [-5v-7u]\)

\(\hrulefill\)

Part (A) - Using the product rule.

\(\dfrac{d}{dx}[uv]=uv'+vu'\)

Substituting in our values:

\((-8)(5)+(9)(-4)\\\\\\\therefore \boxed{=-76}\)

Part (B) - Using the quotient rule.

\(\dfrac{d}{dx}\Big[\dfrac{u}{v} \Big]=\dfrac{vu'-uv'}{v^2}\)

Evaluating at x=0:

\(\dfrac{(9)(-4)-(-8)(5)}{(9)^2}\\\\\\\therefore \boxed{=\frac{4}{81} }\)

Part (C) - Using the quotient rule.

\(\dfrac{d}{dx}\Big[\dfrac{v}{u} \Big]=\dfrac{uv'-vu'}{u^2}\)

Evaluating at x=0:

\(\dfrac{(-8)(5)-(9)(-4)}{(-8)^2}\\\\\\\therefore \boxed{=\frac{-1}{16} }\)

Part (D) - Deriving the function.

\(\dfrac{d}{dx} [-5v-7u]=-5v'-7u'\)

Substituting in our values:

\(-5(5)-7(-4)\\\\\\\therefore \boxed{=3}\)

Thus, all parts have been solved.

Answer:

x=11/2 = 5 1/2

Step-by-step explanation:

Answer:

5.5 =x

Step-by-step explanation:

2x=11

1. Start by dividing by ten since its a even number

2. Then you'll get 5

3. With the last number you'll divide it that'll end up with

.5

4. Just combine both 5 and .5 and you'll get your answers 5.5

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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E and M are shown as congruent. This could be an Isosceles Triangle, so let's check. In an isosceles triangle, there are two congruent angles adjacent to the non-congruent side, and two congruent sides to the non-congruent angle. This angle is the apex. The apex of this triangle is adjacent to two congruent sides, however it is congruent to angle M, and thus this cannot be an isosceles triangle. That means this is an equilateral triangle, so all sides are congruent. So: LM = 16

Answer:

There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus. ( A )

Step-by-step explanation:

Given sample size = 250

Test statistic = 4.01

P-value = 0.1347

significance level  = 0.05

while using chi-square we are supposed to reject H0, but we cant get the critical value ( Z - value ) because the information isn't available , but we are left with the P-value and this P-value been very low shows that the Alternate hypothesis is not strong enough for us to reject the Null hypothesis.

hence we will accept the Null Hypothesis  

Answer: B. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.

Step-by-step explanation: The null hypothesis is that the proportion of students who request certain classes is the same at each campus. Since the p-value is greater than a, there is insufficient evidence to reject the null hypothesis and conclude the alternative hypothesis, that the proportion of students who request certain classes is different at each campus.

Solution:

Given that a particular style of sunglasses costs the retailer $85 per pair.

This implies that

To make a profit of 20% on his cost, he has to sell at the price of

To determine the mark price for which he can sell them at a 15% discount off the original price,

let

Thus,

Therefore. the retailer should mark the price at $120.

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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Answer:

\(\frac{\sqrt 3}{2}\)

Step-by-step explanation:

\( \huge \purple{ \cos \frac{\pi}{6} = \frac{ \sqrt{3} }{2}} \\ \)

Answer:

15 dollars each pizza

Step-by-step explanation:

2 pizzas (15 + 15 = 30)

30 + 6 = 36

Answer:

15

Step-by-step explanation:

15+15=30+6 =36

Answer:

Step-by-step explanation:

y = 4x + 11, and y = -2x - 1, so

4x + 11 = -2x - 1

6x + 11  = -1

6x = -12

x = -2

y = 4x+11 = 3

y = 4x + 11

y = -2x - 1

4x + 11 = -2x - 1

4x + 2x = -1 - 11

6x = -12

x = -12/6

x = -2

y = 4x + 11

y = 4(-2) + 11

y = -8 + 11

y=3

Answer is (-2,3).

Answer: B.792

Step-by-step explanation:

Hey there! :)

Answer:

Choice C: x + 8 = 3x.

Step-by-step explanation:

Solve this question by simplifying each answer choice:

a) 4x = 20

Divide both sides by 4:

4x/4 = 20/4

x = 5. This is incorrect.

b) x/2 = 8

Multiply both sides by 2:

x = 16. This is incorrect.

c) x + 8 = 3x

Subtract x from both sides:

8 = 2x

Divide 2 from both sides:

x = 4. This is correct.

d) x = x+5 /2

Multiply both sides by 2:

2x = x + 5

Subtract x from both sides:

x = 5. This is incorrect.

Therefore, choice C is the correct answer.

Answer:

C . x+8=3x

Step-by-step explanation:

\(x +8 = 3x\\Collect-like-terms\\8=3x-x\\8=2x\\\frac{2x}{2} =\frac{8}{2} \\x =4\)

9514 1404 393

Answer:

  A.  516 ft²

Step-by-step explanation:

Divided at the horizontal dashed line, the figure becomes a triangle with a base of 23-7 = 16 ft and a height of 30-24 = 6 ft, together with a trapezoid of height 24 ft and bases of 23 ft and 23-7 = 16 ft.

The relevant area formulas are ...

  A = 1/2bh . . . . . . area of a triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1 and b2, and height h

__

The area described by the floor plan is ...

  play area = triangle area + trapezoid area

  play area = 1/2(16 ft)(6 f) +1/2(23 ft +16 ft)(24 ft)

  = 48 ft² +468 ft² = 516 ft²

516 square feet of carpet are needed for the play area.

The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25.

The concept of "1" in mathematics typically represents a whole unit or a single entity. However, your question about how many parts "1" equals to requires clarification. If you are referring to dividing a whole into parts, then "1" can be divided into any number of parts, as long as each part is equal.

For instance, if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25, and so on. In this context, "1" can be divided into an infinite number of parts, depending on the desired level of precision or subdivision.

On the other hand, if you are referring to expressing "1" as a fraction or a ratio, it can be written as 1/1 or 1:1, indicating that there is one part in total, and that one part is the whole itself.

In this case, "1" is not divided into multiple parts but represents the entirety of a single unit.

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\((6x +10) + (x +17) +(4x-34) =180\\\\\\\implies 11x -7 =180 \\\\\implies 11x= 180 +7 =187 \\\\\implies x =\dfrac{187}{11} =17\)

Answer:

  a.  It has exactly two odd vertices

  b.  A C E D B A D C

Step-by-step explanation:

(a) There will not be an Euler path if the number of odd vertices is not 0 or 2. Here, the graph has exactly two odd vertices: A and C.

__

(b) We are required to produce a path of the form {A, _, _, D, B, _, D, _}.

Starting at A, there is only one way to get to node D as the 4th node on the path: via C and E. Node B must follow. From B, there is exactly one way to cover the remaining three edges that have not been traversed so far.

The Euler path meeting the requirements is ...

  A C E D B A D C

It is shown by the arrows on the edges in the graph of the attachment.

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer:

6 months per books it's the answer

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

6.

Step-by-step explanation:

1) OA=d/2=20/2=10;

2) AB=AC/2=16/2=8;

\(3) \ OB=\sqrt{OA^2-AB^2} =6.\)

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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