Which of the following equations makes the most sense for the following situation: Jerry works twice as fast as Kenny. If Jerry works for 2 hours and is then joined by Kenny...and they work an additional 3 hours...how fast could they each do the job alone?
a. 5/x ​+ 3/2x ​=1
b. x/3 + 2x/5 = 1
c. 5/2x + 3/x = 1
d. 5/x + 3/(x-2) = 1

The given method is a public static void method named "printsome". It takes two integer parameters named "num1" and "num2". The method contains a for loop that initializes an integer variable "i" to 0 and iterates as long as "i" is less than "num1". Within the for loop, there is an if statement that checks if the remainder of "i" divided by "num2" is equal to 0. If the condition is true, the code inside the if statement will be executed.

The given method is:

public static void printSome(int num1, int num2) {
   for (int i = 0; i < num1; i++) {
       if (i % num2 == 0) {
           // code here
       }
   }
}

In this method:

1. "public" means the method can be accessed from any class.
2. "static" indicates that the method belongs to the class itself and not to any specific instance (object) of the class.
3. "void" denotes that the method does not return any value.

The method takes two integer arguments, num1 and num2. It runs a loop from 0 to num1 (excluding num1). Within the loop, it checks if the current value of 'i' is divisible by num2 (i % num2 == 0). If it is, the code inside the if block will be executed.

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Answer:

4/9 is the answer for this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4.999....  ---------(I)

After decimal point only one digit is repeating. So multiply both sides by 10

10x = 49.999.....(II)

subtract (I) from (II)

10x = 49.999...

x    =   4.999....  {subtract}

   9x = 45

    x = 45/9

x = 5/1

To prove that the set of irrational numbers is uncountable, we can use a proof by contradiction. The idea is to assume that the set of irrational numbers is countable, and then show that this assumption leads to a contradiction.

Assumption: Let's assume that the set of irrational numbers is countable.

Recall that a set is countable if its elements can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...).

Now, consider the set S of all real numbers between 0 and 1 (exclusive) that can be expressed as decimals without repeating or terminating. In other words, S consists of all the irrational numbers between 0 and 1.

We can represent the numbers in S as a list:

S = {x1, x2, x3, x4, ...}

Now, let's construct a new number y by choosing the digits of y such that the ith digit is different from the ith digit of xi (i.e., y is different from xi at the ith decimal place). In other words, y differs from each number xi in the list at least at one decimal place.

Let y = 0.y1y2y3y4...

Now, by construction, y is a decimal number between 0 and 1 without repeating or terminating decimals. Therefore, y is an irrational number.

However, notice that y differs from each xi in the list at least at one decimal place. This means that y is not equal to any xi in the list, leading to a contradiction with our assumption that the set of irrational numbers is countable.

Thus, we have reached a contradiction, and our assumption that the set of irrational numbers is countable must be false.

Therefore, the set of irrational numbers is uncountable.

This proof demonstrates that there are more irrational numbers than natural numbers, showing the uncountability of the set of irrational numbers.

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Note that in this case,   the value of 4x is 12.

5ˣ⁺¹ - 5ˣ = 500

⇒  (5ˣ)5 - 5ˣ = 500

⇒ 5ˣ (5-1) = 500

⇒ 5ˣ (4) = 500

⇒ 5ˣ = 500/4

5ˣ = 125

To solve the equation 5ˣ = 125, we need to find the value of x that satisfies the equation. In this case, we can rewrite 125 as 5³, since 5 raised to the power of 3 is equal to 125. So, we have:

5ˣ = 5³

To solve for x, we can equate the exponents -

x = 3

Therefore, the solution to the equation 5ˣ = 125 is x = 3.

Thus, 4x =

4(3) = 12

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Full Question:

Although part of your question is missing, you might be referring to this full question:

If 5ˣ⁺¹ - 5ˣ = 500 then find 4x

Answer:

y=-2x

Step-by-step explanation:

The y-intercept is 0 so b is 0

and it is going down   2 right 1 so it is -2/1  -2/1 =-2 so it is y= -2x

Answer:

y = -2x + 0

Step-by-step explanation:

y = mx + c

m = gradient and c = y intercept ( the point where the line intercepts the y axis)

Firstly, we can tell the gradient is negative because it has a negative slope (sorta like down a hill) where as x increases y decreases.

To calculate the gradient you use the equation y/x

Pick anywhere on you graph and measure. I have taken from (0,0) to (0,-4) for y and (0,-4) to (2,-4) for x.

Next subtract them (0,-4) - (0,0) = 0,-4. Then take that - 4 for y

Next subtract for them for x (0,-4) - (2,-4) = 0- 2 and -4 -(-4)

                                                                    = -2 and -4 + 4 = 0

                                                                    = -2

So y = -4 and x = -2

y/x = 4/2 = 2

Because we know our gradient is negative add a minus and we get our gradient as -2

For y intercept simply find where the line crosses through the y axis, which in this question happens to be 0

answer = -2x + 0

Answer:

gcd (50; 75) = 25 = 5^2:

Step-by-step explanation:

hope it help

The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.

We are given that;

The three numbers = 25, 50, 75

Now,

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.

To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.

The prime factorization of 25 is 5*5

The prime factorization of 50 is 2 x 5*5.

The prime factorization of 75 is 3 x 5*5.

The common factors of 25, 50 and 75 are 1 and 5*5.

Therefore, by factorization the answer will be 25.

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Hey there!

Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.

We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!

12=-16x+8

We flip the equation so x is on the left side.

-16x+8=12

We subtract 8 from both sides.

-16x=4

We divide both sides by -16.

x=-1/4

Have a wonderful day! :D

Answer:

f(x) = -16x + 8

F(x) = 12

=> f(12) = -16x + 8

=> 12-8 = -16x + 8 - 8

=> 4 = 16x

=> 4/16 = 16x/16

=> 1/4 = x

So, the answer is 1/4.

You can just keep 0 as the whole number to answer this question.

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

3.3

Step-by-step explanation:

it is the right anwer baby

When sales are under $15,000, the current job pays less than the new offer. The new job offer is therefore favoured for sales below $15,000.

a)   Wc = 2000+.07S

b)  Wn =2300+.05S

c)  When the totals are similar, the sales level at which she would not care

   2000 + .07S = 2300 + .05S

   subtract .05S from both sides

    2000 +.02S = 2300

   subtract 2000 from both sides

    .02S = 300

   divide both sides by .02

   S = 300/.02 = 15000

Sales of $15,000 equate to identical pay.

If we apply the same calculation, substituting less than for the = sign... The result of our equation is

2000 + .07S < 2300 + .05S

S < 15000

The present employment pays less than the new offer when sales are under $15,000. Therefore, the new job offer is preferred for sales below $15,000.

check:  Let S = 10,000

Wc = 2000+.07(10000) = $2700

Wn = 2300 + .05(10000) = $2800

As can be seen, at sales of $10,000 the new job earns more.

The complete question is:

A salesperson receives a monthly salary $2000 plus commission of 7% of sales. she is offered a new job at $2300 per month plus commission of 5% os sales.

a) write a linear equation for her current wage W in terms of her monthly sales S.

b)write a linear equation for her monthly wage W of the job offer in terms of her monthly sales S.

c) what level of sales will make her indifferent between the two jobs? Which scheme is preferred when sales are below this level?

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In a completely randomized design involving four treatments, the overall mean (the grand mean) for all treatments is: 37.3. Which is an option (B).

The grand mean (or overall mean) for all treatments can be calculated by averaging the sample means of all treatments weighted by their sample sizes. Given the following information about a completely randomized design involving four treatments: Treatment 1: Sample size = 42, Sample mean = 50

Treatment 2: Sample size = 48, Sample mean = 17

Treatment 3: Sample size = 32, Sample mean = 38

Treatment 4: Sample size = 18, Sample mean = 15

The grand mean is calculated by first multiplying each sample mean by its corresponding sample size, adding the products together, and then dividing by the total sample size of all treatments. The calculation for the grand mean is shown below:

(50*42) + (17*48) + (38*32) + (15*18) = 2100 + 816 + 1216 + 270 = 4402

Grand Mean = 4402/140 = 37.3

Therefore, the correct option is b. 37.3.

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Answer:

b = 70 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees.

We know 2 angles, one is 80 degrees, and one is 30 degrees.

80 + 30 = 110 degrees.

180 - 110 = 70 degrees

So, b = 70 degrees.

Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

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Answer:

The notation f⁻¹(-3) refers to the value(s) of x for which f(x) = -3.

However, the function f is not given in the prompt. Therefore, we cannot determine the value(s) of x for which f(x) = -3 or find f⁻¹(-3) without knowing the definition of f.

Step-by-step explanation:

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

If angle of arc EA is 112 degrees then value of arc IV is 36 degrees by  outside angles theorem

Given that Arc EA measure is One hundred twelve degrees

By Outside Angles Theorem states that the measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs

(112-x)/2=38

112-x=38×2

112-x=76

112-76=x

36 degrees = angle IV or x

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Answer:

true

Step-by-step explanation:

Here

Show sum of interior angles is 180°

\(\\ \sf\longmapsto <NBA+<NAB=180\)

\(\\ \sf\longmapsto <NAB+103=180\)

\(\\ \sf\longmapsto <NAB=180-103\)

\(\\ \sf\longmapsto <NAB=77°\)

Vertical angles are supplementary

We need m<NAB

The interval on which f(x) is decreasing is (0, infinity).

To determine on what interval f(x) is decreasing, we need to look at the graph of the function or calculate the derivative of the function.

First, let's look at the graph of the function. If the graph of the function is going downward from left to right, then the function is decreasing on that interval.

Alternatively, we can calculate the derivative of the function f'(x) and determine where it is negative. If f'(x) < 0, then the function is decreasing on that interval.

So, the interval on which f(x) is decreasing is where the graph of the function is going downward from left to right or where f'(x) < 0.

For example, if f(x) = -x^2 + 4, the derivative of the function is f'(x) = -2x. To find where f'(x) < 0, we can set -2x < 0 and solve for x. This gives us x > 0. So, the function is decreasing on the interval (0, infinity).

Therefore, the interval on which f(x) is decreasing is (0, infinity).

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The value of sin(D) is 7/25 after the application of the Pythagoras theorem.

The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It claims that the hypotenuse's square length, which is the side that faces the right angle, is equivalent to the total of the squares of the lengths of the other two sides in a right triangle. The theorem can be formulated mathematically as:

c² = a² + b²

where, even the lengths for the remaining two sides (the legs) of the right triangle are a and b, and c is the length of the hypotenuse.

The Pythagorean theorem may be employed to determine the triangle's third side's length:

DE²= FD² + EF²

25² = 24² + EF²

625 = 576 + EF²

EF² = 49

EF = 7

Now, we can use the definition of sine to find sin(D):

sin(D) = opposite/hypotenuse = EF/DE = 7/25

Therefore, the value of sin(D) is 7/25.

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When x is halfed, the value of y becomes 2.

According to the given information, y is directly proportional to x. This means that as x increases or decreases, y will also increase or decrease by the same factor.

We are told that when x has a certain value, y equals 4. This means that when x = 1, y = 4.

To find the value of y when x is halfed, we can use the concept of direct proportionality. If x is halfed, it becomes x/2. Since y is directly proportional to x, we can also halve y to find its new value.

So, when x is halved, y will also be halved. Therefore, when x = 1/2, y = 4/2 = 2.

In summary, when x is halfed, the value of y becomes 2.

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Answer:

1

Step-by-step explanation:

A = 4

B = 5

Theres a 1 number diffrence.

(sorry if its wring its 12am im tired-

Therefore, the cat food will feed Sally's 3 cats for 16 days.

A fraction is a way of representing a part of a whole or a ratio between two numbers. It is written as a numerical quantity represented as a numerator and a denominator separated by a horizontal line or slash. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole or in the group being considered.

Here,

Each cat eats 1/4 of a tin of cat food per day, so the total amount of cat food needed per day for all 3 cats is:

3 x 1/4 = 3/4

This means that Sally needs 3/4 of a tin of cat food per day to feed all 3 cats. If she buys 12 tins of cat food, this will last:

12 / (3/4) = 12 x 4/3

= 16 days

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Answer:

C

Step-by-step explanation:

-4d is greater or equal to -12

d is less  than  or equal to 3

Answer:

c

Step-by-step explanation:

c is the answer

Answer: n=-30

Step-by-step explanation:

With what we are given in the description, we can find the missing number.

\(8+\frac{n}{3} =-2\)

We get this equation because 8 is adding the quotient of a number and 3. A quotient of a number and 3 is written as \(\frac{n}{3}\) because n is dividing 3. When that is added to 8, we get -2. With this equation, we can solve for n.

\(8+\frac{n}{3} =-2\)           [subtract both sides by 8]

\(\frac{n}{3} =-10\)                [multiply both sides by 3]

\(n=-30\)

Now, we know that n=-30.

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Answer:

Multiply by any number to the ratio to both sides of the colon and that would be an equal ratio.

awnser 6:22 , 9:33 , 12:44 and 15:55

Answer:

100x-400

B

Step-by-step explanation:

Profit= Revenue - cost

so just subtract the two equations

(700x+100)-(600x+500)

100x-400 which is answer choice B

Answer:

Step-by-step explanation:

so subtract the cost function from the revenue function

700x + 100

-(600x + 500)

profit(x) = 100x -400

a. As time increases, the height function h = g(t) is expected to increase gradually. Since the formula for g(t) is (t/π)^(1/3), it indicates that the depth of the water is directly proportional to the cube root of time. Therefore, as time increases, the cube root of time will also increase, resulting in a greater depth of water in the tank.

b. To compute the average value of V(t) on the given intervals, we need to find the change in volume divided by the change in time. The average value AV(a, b) is given by AV(a, b) = (V(b) - V(a))/(b - a).

AV(0,2):

V(0) = 0 (initially empty tank)

V(2) = 0.75 * 2 = 1.5 cubic feet (constant filling rate)

AV(0,2) = (1.5 - 0)/(2 - 0) = 0.75 cubic feet per minute

AV[2,4]:

V(2) = 1.5 cubic feet (end of previous interval)

V(4) = 0.75 * 4 = 3 cubic feet

AV[2,4] = (3 - 1.5)/(4 - 2) = 0.75 cubic feet per minute

AV[4,6]:

V(4) = 3 cubic feet (end of previous interval)

V(6) = 0.75 * 6 = 4.5 cubic feet

AV[4,6] = (4.5 - 3)/(6 - 4) = 0.75 cubic feet per minute

c. To determine an interval [a, b] on which AV(a,b) = 2 feet per minute, we need to find a range of time during which the volume increases by 2 cubic feet per minute. However, since the volume function is not explicitly given and we only have the height function, we cannot directly compute the average rate of change of volume. Therefore, we cannot determine an interval [a, b] where AV(a, b) = 2 feet per minute based solely on the height function.

d. Although we don't have a formula for the volume function f(t), we can still determine the average rate of change of volume on the intervals [0, 2], [2, 4], and [4, 6]. This can be done by calculating the change in volume divided by the change in time, similar to how we computed the average value for the height function. The average rate of change of volume represents the average filling rate of the tank over a specific time interval.

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