Differentiate f and find the domain of f. (Enter the domain in interval notation.)
f(x) = (1/7) /(1 ? ln(x ? 5))
derivative f'(x) = ?
Domain = ?

Answer:

The answer is -3x + 6y = 36

Step-by-step explanation:

Answer:

19, 29, 29, 37, 41

Step-by-step explanation:

1. What we know: x y 29 z 41

(x+y+29+z+41)/5 =31

x y and z each >9 and prime

Possibile numbers: 11, 13, 17, 19, 23, 29, 31, 37, 41

2. (x+y+29+z+41)/5 =31

x+y+29+z+41 = (31×5)

x+y+z = (31×5) -29 -41

x+y+z = 85

z>=29

x<=29

y<=29

x and y can be 11, 13, 17, 19, 23, 29

z could be 29, 31, 37, 41

At least one if them must equal 29 because it's the mode.

So two of them must equal 56

11+29=40 so both numbers cannot be less than or equal to 40

This means y is 29 because x + z has to equal 56 and that wouldn't be possible if x equals 29.

Now we know x+z=56

Possible numbers: 19+37

I found these by doing 56- each possible number for x and seeing if that equaled a possible number for z. For example 56-11=45 but z cannot be 45 therefore x cannot be 11 and so on.

Then you just plug in the numbers!

19, 29, 29, 37, 41

This was so much fun to solve! I hope this is helpful, let me know if you have any questions! You got this :)

Answer:

132

Step-by-step explanation:

28x66=1,848

30x66=1,980

1,980-1,848=132

Answer:

the answer will be 33

Step-by-step explanation:

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

Recursive formula → \(a_n=-9n+19\)

Step-by-step explanation:

Recursive formula given for the sequence is,

\(a_1=10\) and \(a_n=a_{n-1}-9\)

Therefore, sequence will be,

10, 1, -8, -17........

Explicit formula for an arithmetic sequence is,

\(a_n=a_1+(n-1)d\)

Here, n = number of term

d = common difference

Therefore, recursive formula will be,

\(a_n=10+(n-1)(-9)\)

    = 10 - 9n + 9

    = 19 - 9n

\(a_n=-9n+19\)

(b) We have 13 possibilities that a five-card hand will contain four of a kind.

(c) We have 12 possibilities that a five-card hand will contain a full house.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility.

Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half (which could also be written as 0.5)

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Answer:

u²v²

Step-by-step explanation:

Prime Factorization of each:

11·u·u·v·v·v·v·v

u·u·v·v

Common to each:

two u's and two v's, which is u²v²

Answer: The answer is A

Step-by-step explanation: because 5x-30= -150 because I looked it up

Answer:

B. The value of y can be negative.

Step-by-step explanation:

The value of y can be negative, which means the beekeeper wasn't able to sell a lot of jars that could compensate the amount he paid for the booth. It also means he didn't have any profit, rather, he incurred a loss.

For example, if the beekeeper sold only 5 jars of honey, the solution will look like this:

Let x be the number of jars of honey the beekeeper sold.

This means that the beekeeper has a loss of $5.

Answer:

  22 ft

Step-by-step explanation:

Given a river that has a depth in January of -5 ft, and a depth in July of -27 ft, you want the difference between the depths in January and July.

The difference between two numbers is found by subtracting the second from the first:

  (January depth) - (July depth) = (-5 ft) -(-27 ft)

  = (-5 +27) ft = 22 ft

The difference between depths in January and July is 22 feet.

Answer:

Maybe 40

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

22/55=0.40

Hope this helps! Plz award Brainliest : )

Bonnie bought approximately 4 bags of chips and 14 cans of pop for a total cost of $17.50.

Let's assume the number of bags of chips Bonnie bought is x.

According to the given information, Bonnie bought ten more cans of pop than bags of chips. Therefore, the number of cans of pop Bonnie bought is x + 10.

We are also given that Bonnie spent $17.50 on these purchases.

Now, let's calculate the total cost of the bags of chips and cans of pop:

Cost of x bags of chips = x dollars

Cost of (x + 10) cans of pop = (x + 10) dollars

The total cost is the sum of the cost of bags of chips and cans of pop:

Total cost = x + (x + 10) = 2x + 10

According to the given information, the total cost is $17.50:

2x + 10 = 17.50

Subtracting 10 from both sides of the equation:

2x = 17.50 - 10

2x = 7.50

Dividing both sides by 2:

x = 7.50 / 2

x = 3.75

Therefore, Bonnie bought 3.75 bags of chips (which we'll assume is 4 bags since we can't have a fraction of a bag) and (3.75 + 10) = 13.75 (which we'll assume is 14 cans since we can't have a fraction of a can) cans of pop.

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The shape of the distribution is normal

The probability is 0.7764

What is Standard Deviation?

The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.

(a)

The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).

The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.

(b)

We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).

Using the formula for the difference of two normal distributions, we have:

z = (2 - 4.8) / 3.67 = -0.76

We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.

Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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Answer:

3/8 is is bigger then 3/12

Step-by-step explanation:

The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16

Sorry if its wrong! ^^""

As, 0.375> 0.25, so, 3/8 is greater than 3/12.

Here, we have,

To get the answer, we first convert each fraction into decimal numbers.

We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

3/12 = 0.25

Then, we compare the two decimal numbers to get the answer.

0.375 is greater than 0.25.

i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125

Therefore, 3/8 is greater than 3/12.

Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.

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Answer:

0

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

It is the same angle as the one on the top, making it 33.

To determine the radius of curvature of a convex mirror, we can use the mirror formula, which relates the object distance (d₀), image distance (dᵢ), and the radius of curvature (R) of the mirror. The formula is given by:

1/f = 1/d₀ + 1/dᵢ In this case, the object distance is negative (-38 cm) since the object (car) is located behind the mirror. Assuming the car is very far away, we can approximate the object distance as being approximately equal to the radius of curvature of the mirror (R). Substituting the values into the mirror formula: 1/R = 1/-38 + 1/dᵢ

Since we are looking for the radius of curvature, we need to find the image distance (dᵢ). Without further information, we cannot determine the image distance or the exact value of the radius of curvature. However, based on the given information, we can conclude that the radius of curvature of the convex mirror is approximately -38 cm, assuming the car is very distant and the object distance is approximately equal to the radius of curvature. The negative sign indicates that the convex mirror has a positive curvature.

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Answer:

The answer is D

Step-by-step explanation:

If wrong plz correct me if right plz mark brainliest

Answer:

(x,y) -> ( -y , x )

Step-by-step explanation:

rotation formula:

90 degrees counterclockwise  (x,y) -> ( -y , x )

Answer:

4

Step-by-step explanation:

we have been given the mean as 5 so it means you have to multiply five with the mean since there are five numbers .If you multiply you will get 25 then add 5+8+2+6 the answer you will get is 21 thn write an equation 21+x=25 because 21 has a positive sign infront of it when it crosses the equal sign it will change to a negative sign the equation will be x=25-21 if you subtract you will get 4 so x=4

The probability that the sample average falls outside the 3-sigma control limits of the X-bar chart is 0.27%.

The 3-sigma control limits are calculated using the standard deviation of the process. If the process is in control, then 99.73% of the sample averages will fall within the 3-sigma control limits. The remaining 0.27% of the sample averages will fall outside the control limits.

In this case, the sample size is 4, which is smaller than the sample size of 9 that was used to construct the control chart. This means that the control limits for the sample of size 4 will be narrower than the control limits for the sample of size 9.

As a result, the probability that the sample average falls outside the control limits will be higher for the sample of size 4.

Specifically, the probability that the sample average falls outside the 3-sigma control limits for a sample of size 4 is 0.27%. This means that there is a 0.27% chance that the new employee will observe a sample average that falls outside the control limits, even if the process is in control.

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On simplifying the given algebraic expression, we get -

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x¹⁰y²z)⁴

The given expression is -

(x¹⁰y²z)⁴

We can simplify the given expression as -

(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)

(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴)

Therefore, on simplifying the given algebraic expression, we get -

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).

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Answer:

The left side of the equation is ignored

i is treated as -1, which it is not, it is instead the square root of negative 1.

To solve it properly we get:

(2 - 5i)(5 + 2i)

= 10 + 4i - 25i - 10i²

= 10 + 21i + 10

= 20 - 21i

Answer:

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Step-by-step explanation:

Given two numbers that are being multiplied are:

(2-5i)(5+2i)

We will solve the question to get the right result so that the error can be detected.

So, multiplying both

\(= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10\)

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Answer:

Step-by-step explanation:

Let the original cost be x

The shoppers get 10% of the original price

Therefore the equation to find final cost =

Discount: 10x/100

Final Cost: 90x/100

Mark brainliest for further answers :)

Answer:

Choice 3

Step-by-step explanation:

The reason why is because 2/3 x 1/3 = 2/9 and the third choice represents 2/9 btw you can't give brainliest until another person answers aswell.

Answer:

(6, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (6, - 3 ) ← solution

Answer:

They can buy only 40 shirts with $435.

They can buy the 52 shirts if the price is $ 7.28

Step-by-step explanation:

9.25x + 56 = 435

9.25x = 435 - 56

x = 379/9.25

x = 40

435-56=379

$379/52 shirts

$ 7.28

Answer:

\(→5000×3000\)

\(→5×1000×3×1000\)

\(→5×3×1000×1000\)

\(→5×3×10^3×10^3\)

\(→15×10^3×10^3\)

\(→1.5×10^1×10^3×10^3\)

\(→1.5 \times 10 {}^{1 + 3 + 3} \)

\(→1.5×10^7\)

The vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given here: A polygon JKLM

From the graph we can observe the co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

Hence, the vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

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