6) The first World Cup for men
was in 1930 and the first
women's World Cup was in
1991. What fraction of the
years have we had a
women's World Cup? (It is
2022 now.)

The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

learn more about derivative here

https://brainly.com/question/29144258

#SPJ11

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a

The first diagram is the equation represented by 5 . 2 = 10 and the second diagram is the one with the equation represented by 2 + 5 = 7.

Tape diagrams are diagrams which are used to understand about the relationship between quantities and also they describe how those relationships has been described by operations.

Given are two tape diagrams.

First take the equation 2 + 5 = 7.

This means that 2 is just added to 5 to get 7.

One part contains 2 and the other part contains 5.

Length of it is 7.

Consider the second equation 5 × 2 = 10.

5 × 2 actually means that 5 is added to itself two times or 2 is added to itself five times.

Either 5 + 5 = 10 or 2 + 2 + 2 + 2 + 2 = 10

We have a diagram with 5 equal parts of 2.

Length is 10.

Hence the length of the first diagram is 10 and the length of second diagram is 7.

Learn more about Tape diagrams here :

https://brainly.com/question/30072701

#SPJ1

Answer:

change the 8 to a 5

Step-by-step explanation:

5+8 =13

5+5=10

Answer: The 2 Plan will have same cost of $2149 after 64 sessions.

Let the Two plan be Plan A and Plan B.

Also let the number of session be

According to given detail

Plan A =

Plan B =

We need to find the value of when both are equal.

Plan A = Plan B

=

Solving above equation we get;

Number of session are 64.

Cost after 64 session will be,

Plan A =

Plan B =

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).

a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).

Therefore, ln(7x) can be expanded as ln(7) + ln(x).

b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).

Hence, ln(x + 3) remains as it is since we cannot simplify it further.

c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).

Thus, ln(x^8) becomes 8 * ln(x).

d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).

Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].

Learn more about expanded here

https://brainly.com/question/17921963

#SPJ11

If the interquartile range is much longer than either of the whiskers and there are no outliers, it suggests that the data is evenly distributed within the middle 50% of the dataset, but there is a significant spread of values beyond that range. This indicates a relatively large variation or dispersion in the dataset.

The interquartile range (IQR) is a measure of variability that represents the range between the first quartile (Q1) and the third quartile (Q3) of the dataset. When the IQR is much longer than either of the whiskers (which represent the minimum and maximum values within 1.5 times the IQR), it implies that the middle 50% of the data is relatively tightly clustered, while there are values that extend far beyond that range.

The absence of outliers suggests that there are no extreme values or observations that deviate significantly from the rest of the data. This indicates a more consistent distribution without any unusual or aberrant data points. However, the extended interquartile range implies a significant spread or dispersion of values beyond the central portion of the dataset.

To learn more about consistent distribution : brainly.com/question/27151084

#SPJ11

The chance to not hit the target is 65 percentage. This means that there is a 65% chance that the hunter will miss the target.

The percentage of a hunter to hit a target is .35, which means that there is a 35% chance that the hunter will hit the target. This leaves a 65% chance that the hunter will miss the target. This means that there is a 65% chance that the hunter will not hit the target. This percentage is determined by the accuracy of the hunter, the size of the target, and any other external factors that may affect the accuracy of the hunter's shot. Accuracy is determined by the hunter's skill, experience, and the quality of the equipment used. The size of the target is also a factor, as it can be harder to hit a smaller target. Additionally, any environmental factors present, such as wind or rain, can cause the shot to go astray. All of these factors combine to determine the chance that the hunter will have to make or miss the target.

Learn more about percentage here

https://brainly.com/question/16797504

#SPJ4

the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two  without neighbors regard to whether they are right or left neighbors is:5!6⋅2=10.6⋅25! = 10

There are $(6-1)! = 5! = 120$ ways to seat six people around a circular table if the seatings are considered distinct. However, we must divide this number by $6$ to account for the fact that rotations of the same seating arrangement are considered the same. We also must divide by $2$ to account for the fact that reflections (i.e., reversing the order of people) of the same seating arrangement are also considered the same.

Therefore, the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors is:

5!6⋅2=10.6⋅25! = 10

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

72 is a multiple of 3, 8, and 12.

Step-by-step explanation:

(3 x 24 = 72, 8 x 9 = 72, 6 x 12 = 72)

Write the multiples of 3, 8 and 12:

3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,

75,78,81,84,87,90,93,96

8:

8,16,24,32,40,48,56,64,72,80,88,97

12: 12,24,36,48,60,72,84,96

The common multiple between 49 and 95 is 72

Answer: 72

Answer:

56 degrees

Step-by-step explanation:

The angles are all supplementary, so they add up to 180 degrees. Subtract 90 and 34 from 180 to get your answer.

Answer:

$1.75

Step-by-step explanation:

First, find the cost of just the socks. Subtract the total cost by the cost of the shirt.

total cost - cost of shirt

We know that the socks and shirt cost $22.95. We also know a shirt costs $8.95, so we can subtract $8.95 from $22.95.

$22.95 - $8.95

$14

It cost $14 for the socks.

Now, find the cost of each pair of socks. Divide the sock cost by the pairs.

sock cost/pairs

We know that each pair costs the same amount, and 8 pairs were purchased. Therefore, we can divide $14 by 8.

$14/8

$1.75

Each pair of socks cost $1.75

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

To know more about interest compounded visit:

brainly.com/question/20038112

#SPJ11

Answer:

Side a = 35ft

Side b = 35ft

Side c = 20ft

Step-by-step explanation:

The formula for the perimeter of a triangle = Side a + Side b + Side c

In an isosceles triangle, 2 sides are equal to each other.

So, Side a = Side b

In the question, we are told that:

The two equal sides are each 5 ft less than twice the length of the third side.

Hence,

a = 2c - 5

b = 2c - 5

P = 90ft

P = a + b + c

90 = 2c - 5 + 2c - 5 + c

Collect like terms

90 = 5c - 10

90 + 10 = 5c

100 = 5c

c = 100/5

c = 20

The length of the third side = 20ft

a = 2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

b =2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

Therefore,

Side a = 35ft

Side b = 35ft

Side c = 20ft

The mixed third partial derivative of the function f(x, y, z) = x² + y² + z² with respect to x, y, and z is zero.

To find the mixed third partial derivative of the function f(x, y, z) = x² + y² + z² with respect to x, y, and z, we need to take the partial derivative with respect to x, then y, and finally z. Let's compute each step:

Taking the partial derivative with respect to x:

∂f/∂x = 2x

Taking the partial derivative of the result with respect to y:

∂(∂f/∂x)/∂y = ∂(2x)/∂y = 0

Taking the partial derivative of the previous result with respect to z:

∂(∂(∂f/∂x)/∂y)/∂z = ∂(0)/∂z = 0

Therefore, the mixed third partial derivative ∂³f/(∂x∂y∂z) is equal to 0.

This means that the function f does not have any dependence or variation with respect to the simultaneous changes in x, y, and z.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Answer:

B. 4

Step-by-step explanation:

\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)

49 × 7x = 343x

14√7 = √(1372)

1372 ÷ 343 = 4 this is the vaule of x.

(a) The probability that there will be exactly 3 eruptions in the next 200 years is 0.1404

(b) The probability the next eruption occurs between 25 and 50 years is 0.2488

Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ.

the average of the eruption is  λ=2.5 per year.

Also for 200 eruptions the average of the eruptions is  λ=2.5 per year.

Also, for 200 eruptions, the average of the eruptions is  λ=5 per year.

The probability is:

P(X=3) = e⁻³(5)³/3!

= 0.0067×125/3×2×1

= 0.8422/6

= 0.1404

(b) Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ and also let 2.5 eruptions in 100 years is same as waiting time of:

100/2.5

= 40 years per eruption

therefore, X ~ Exp(β=40)

the probability density function of X is:

f(x) = { 1/40 e⁻¹/⁴⁰ , x>0

          0 ,  otherwise}

And cumulative distribution function is:

P(X≤x) = 1 - e, x>0

the probability is:

P(25<X<50) = P(X<50)-P(X<25)

P(25<X<50) = e²⁵/⁴⁰ - e⁵⁰/⁴⁰

= e⁻°·°²⁵ - e⁻¹·²⁵

= 0.5353 - 0.2865

= 0.2488

Hence we get the required answer.

Learn more about Probability here:

brainly.com/question/25688842

#SPJ4

Answer:

107.5

Step-by-step explanation:

If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .

the amount that Mirka gets per week is = 50p ;

Age of Mirka is = 5 years ;

When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.

that means ;

So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),

Pocket money in the first year = 50p × 52 weeks = £26 .

Therefore , Mirka will get £26 in the first year of her birthday .

Learn more about Pocket Money here

https://brainly.com/question/28160067

#SPJ4

Answer:

24

Step-by-step explanation:

correct on plato

It will take the painter more than 40 hours to paint all 20 rooms in stately wayne manor .

Time taken for the first 3 rooms =9hrs

Learning curve rate = 85%

Time taken for the next 20 rooms =?

Time taken for 1 room = 9hrs / 3 rooms = 3 hrs

If it takes 3 hrs to paint 1 room

Therefore, it will take x hrs to paint 20 rooms would take;

Hence, 20 rooms multiplied 3 hrs = 60 hours

It may take 60 hours to complete painting the 20 rooms.

At a learning curve rate of 85%, 15% will be the progress rate

Therefore, it will take additional 15% of 60 hours to paint the 20 room.

60+9(15% of 60) =69 hours

The painter would take more than 40 hours to paint the 20 rooms given his efficiency and learning curve rate.  The answer is derived by relating the data provided in the question to the desired answer.

To learn more about learning curve rate. Click, https://brainly.com/question/13265695

#SPJ4

Answer:

15/2r - 40; Distributive Property

Step-by-step explanation:

You can use the Distributive Property to multiply the 5 across the expression in the parentheses.

5(3/2r - 8)

5 × 3/2r = 15/2r

5 × -8 = -40

Combine.

15/2r - 40

Hope this helps!

Answer:

4 units

Step-by-step explanation:

The length of the shorter side is equal to the difference in y-coordinates of two vertically opposite vertices. The y-coordinates of the vertices (-1, -5) and (3, -5) are both -5, so the vertical side between them is not the shorter side. The y-coordinates of the vertices (3, -7) and (-1, -7) are both -7, so the vertical side between them is the shorter side. The difference in the x-coordinates of these two vertices is 3 - (-1) = 4, so the length of the shorter side is 4 units.

Answer: Your answer is 2

Step-by-step explanation: I did the k12 quiz here's proof

Answer: x=13

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just do square root