Which situation represents the expression, 3/5 divided by 1/4?

Answer:

The question is given below as

Using the drawing tool, we will have

By addition, we will have

Hence,

The final answer is = 926

OPTION A is the right answer

The result is the absolute value of "s" rather than the original value of "s".

Let's consider the terms provided: "s" and "√(s^2)".

No matter what the value of "s" is, the square root of "s" squared (denoted as √(s^2)) is equal to the absolute value of "s" (denoted as |s|). This is because squaring any real number (s^2) will result in a non-negative value, and taking the square root (√) of that squared value will return its original absolute value.

For example, let's assume "s" is a positive number, like 3. In this case, √(3^2) equals √(9), which results in 3. Now, let's consider if "s" is a negative number, like -3. We have √((-3)^2) equaling √(9), which also results in 3.

In both cases, the result is the absolute value of "s" rather than the original value of "s". So, it's important to note that √(s^2) is equal to the absolute value of "s" (|s|), not the original value of "s" itself, regardless of whether "s" is positive or negative.

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Answer:

Domain: {3,5,6,9}

Range: {1,2,8}

Step-by-step explanation:

In a relation, the domain is the x-values while the range is the y-values. To find them simply list the values in order from least to greatest while not repeating any values. This relation would also not be considered a function because x-values repeat.

Let A be the number of adults and C be the number of children. We know that A + C = 500 and 2A + C = 780. Solving for A, we get A = 260.

To solve this problem, we use a system of equations with two variables: A and C. From the problem, we know that the total number of people who attended the play was 500.

We also know that the admission price for adults was $2 and for children was $1. Finally, we know that the total admission receipts were $780.

Using this information, we can set up two equations: A + C = 500 (equation 1) and 2A + C = 780 (equation 2). We can then solve for A by eliminating C. Subtracting equation 1 from equation 2, we get A = 260. Therefore, there were 260 adults who attended the play.

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The required probabilities are as follows:

(a) P(A') = 0.6

(b) P(A∪B) = 0.5

(c) P(A'∩B) = 0.1

(d) P(A∩B') = 0.3

(e) P[(A∪B)'] = 0.5

(f) P(A'∪B) = 0.7

Let's determine the probabilities using the provided information:

(a) P(A'): This represents the probability of the complement of event A, which is everything that is not in A.

P(A') = 1 - P(A) = 1 - 0.4 = 0.6

(b) P(A∪B): This represents the probability of either event A or event B occurring.

P(A∪B) = P(A) + P(B) - P(A∩B) = 0.4 + 0.2 - 0.1 = 0.5

(c) P(A'∩B): This represents the probability of the intersection of the complement of event A and event B.

P(A'∩B) = P(B) - P(A∩B) = 0.2 - 0.1 = 0.1

(d) P(A∩B'): This represents the probability of the intersection of event A and the complement of event B.

P(A∩B') = P(A) - P(A∩B) = 0.4 - 0.1 = 0.3

(e) P[(A∪B)']: This represents the probability of the complement of the union of event A and event B.

P[(A∪B)'] = 1 - P(A∪B) = 1 - 0.5 = 0.5

(f) P(A'∪B): This represents the probability of the union of the complement of event A and event B.

P(A'∪B) = P(A') + P(B) - P(A'∩B)

          = 0.6 + 0.2 - P(A'∩B)  (Note: P(A'∩B) is obtained in part (c))

Substituting the value of P(A'∩B) from part (c):

P(A'∪B) = 0.6 + 0.2 - 0.1 = 0.7

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The value of x_bar that makes vectors u and v orthogonal is

x_bar =−1.4.

To determine the value of x_bar such that vectors u=(0,2.8,2) and v=(1,1,x) are orthogonal, we need to check if their dot product is zero.

The dot product of two vectors is calculated by multiplying corresponding components and summing them:

u⋅v=u1⋅v 1 +u 2 ⋅v 2+u 3⋅v 3

​

Substituting the given values: u⋅v=(0)(1)+(2.8)(1)+(2)(x)=2.8+2x

For the vectors to be orthogonal, their dot product must be zero. So we set u⋅v=0:

2.8+2x=0

Solving this equation for

2x=−2.8

x= −2.8\2

x=−1.4

Therefore, the value of x_bar that makes vectors u and v orthogonal is

x_bar =−1.4.

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Answer:

90

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

f(-6) = -3(-6) + 4  Negative times a negative is a positive.

f(-6) = 18 + 4

f(-6) = 22

The answer for f(x) = -3x + 4 when x = -6 is 22.

Given equation is f(x) = -3x + 4

We have to put x = -6

f(-6) = -3 (-6) +4

       = 18 + 4

       = 22

Hence, the answer is 22.

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The distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

To find the distance between a point and a line, we need to use the formula:

distance = |ax + by + c| / √(a^2 + b^2)

where a, b, and c are the coefficients of the equation of the line in the form ax + by + c = 0. In this case, the equation of the line is 4x - 3y = 0, so a = 4, b = -3, and c = 0.

To apply the formula, we need to find the values of x and y that correspond to the point (1,2) when they are plugged into the equation of the line. Solving for y in terms of x, we get:

4x - 3y = 0

-3y = -4x

y = (4/3)x

Now we can plug in the coordinates of the point (1,2) and find the distance:

distance = |4(1) - 3(2) + 0| / √(4^2 + (-3)^2)

= |-2| / √(16 + 9)

= 2 / √25

= 2/5

Therefore, the distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

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Answer:

1/6 serving

Step-by-step explanation:

1 SERVING = 3/2 OUNCES

        x        = 1/4 OUNCES

CROSS MULTIPLY.

1 * 1/4 ( serving * ounces) = x * 3/2 (ounces)

REARRANGE, THEN DIVIDE BOTH SIDES BY 3/2 OUNCES TO MAKE x THE SUBJECT.

x * 3/2 (ounces) = 1 * 1/4 ( serving * ounces)

[x * 3/2 (ounces)] / 3/2 OUNCES = [1 * 1/4 ( serving * ounces)] / 3/2 OUNCES

x = (1/4) / (3/2) SERVING

x = 1/4 * 2/3 (serving)

x = 1/2 * 1/3 (serving)

x = 1/6 serving

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The side that is opposite the 95-degree angle should be the longest, followed by the 53-degree angle and finally the 32-degree angle, which will be the shortest. The answer is (b).

How do you tell which angle is larger: The largest angle is located across from the longest side, just like with the sides. Theorem: If and only if angle A (= angle CAB) is greater than angle B (= angle ABC), then side BC of a triangle ABC will be longer than side CA. To put it another way, larger sides are in opposition to larger angles.

If you have an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin(). To find the length of the side next to the angle, you can also divide the length by tan(). Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Hint: There are two fundamental units used to measure angles from one of the two fundamental units, radians () or degrees ().

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Correct Question:

Answer

it could be 73/x

Step-by-step explanation:

By considering ages and equations we have,

Uncle Rob will be 62 years old when Dave is 32.

Dave is listed as being 15 years old, while his uncle Rob is listed as being three times Dave's age. Rob's age as of right now may be calculated using the formula below:

Age of Rob is Dave times three.

Using Dave's age as a plug-in, we obtain following equations,

Rob's age is equal to 15 + 3 = 45.

Rob is currently 45 years old, according to this.

We need to know how many years it will be before Dave turns 32 in order to calculate Rob's age at that time. By deducting Dave's present age from his anticipated age, we may determine this:

Years from now = Dave's age in the future minus Dave's age currently

By entering the specified values, we obtain:

The number of years from now is equal to 32 - 15 = 17 years.

Dave will turn 32 in 17 years, according to this.

We may multiply Rob's current age by the number of years from now to determine his age at that point:

When Dave reaches the age of 32, Rob will be that age plus the number of years.

When we enter the calculated values, we obtain:

When Dave is 32 years old, Rob will be 45 + 17 years old, or 62 years old.

  So, Dave uncle rob 's age will be 62 years old.

As a result, when Dave's age is 32, his uncle Rob's age will be 62.

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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For an increase of one hour in time worked, the predicted increase in the amount of money spent on entertainment is 1.86 units.

To find the predicted increase in the amount of money spent on entertainment for an increase of one hour in time worked, we need to find the slope of the line, which is the coefficient of x in the equation.

which means that for every one unit increase in x (which in this case is one hour worked), y (which in this case is the amount of money spent on entertainment) is predicted to increase by 1.86 units.

This is the change in the dependent variable (y) for a unit increase in the independent variable (x), based on the linear relationship described by the equation of the line fit.

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g(x) = -f(x) - 4

===========================================================

Explanation:

The point (0,1) is on the the red f(x) curve. It's the y-intercept.

If we reflected that point over the x axis, then it moves to (0,-1). Shift it down 4 units to get to (0,-5)

The point (0,-5) is on the purple g(x) curve.

This process of...

is applied to every point on the red curve to arrive at a corresponding point on the purple curve. The order of the transformations matters. We can't shift down first before reflecting (or else g(x) will be in a different spot).

We stick a negative sign in front of the f(x) to reflect over the x axis. This is to change the sign of the y coordinate from positive to negative. Our answer choices are narrowed to either B or C.

The answer is choice B since that -4 at the end means "shift each point 4 units down". We're subtracting 4 from each y coordinate.

GeoGebra and Desmos are two useful tools to help verify the answer.

Answer:

<RQS = <RSQ

Step-by-step explanation:

IRQ = RS, then QRS is an isosceles triangle and the base angles are equal

<RQS = <RSQ

Answer:

8:3

Step-by-step explanation:

Divide each by 12 :)

Answer:

Step-by-step explanation:

1/2(4x − 8) = 2(x+3)

2x - 4 = 2x + 6

0 = 10

the equation is false

The graph of the points is attached below.

Given that the equation  \(y =\frac{-1}{5}x - 2\) .

To find the graph of the equation  \(y =\frac{-1}{5}x - 2\) ,  to change in slope-intercept form.

The general equation is y = mx + b, where m is the slope of line and b is the the y-intercept of the line.

Our equation,   \(m=\dfrac{-1}{5}\)  and the y-intercept is -2.

To graph the given line  \(y =\frac{-1}{5}x - 2\), we can start by plotting the y-intercept, which is the point (0, -2).

Using this information, plot a more points and draw the line:

(0, -2) at x=0,

(5, -3) at x=5 and

(-5, -1) at x=-5.

The graph of the points is attached below.

The line intersect the points (0, -2), (5, -3), and (-5, -1). here the slope is negative and decreases move from left to right.

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Answer:88

Step-by-step explanation: cause it say 88 students in class then it say how many students per class its 88 i think

Answer:

22

Step-by-step explanation: divided 88 by 4

To dilate a circle by a determined scale factor k you have to work on the standard equation of the circle

You have to multiply the radius by the squared scale factor:

So, if do example you want to dilate a circle by a scale factor 3, you have to multiply the radius by the square of 3

The formula of the circle dilated by k=3 is

The values of d that make the inequality 9d > 9 true are given as follows:

2, 4, 11.

Hence the equivalent inequality is given as follows:

d > 1.

The inequality in the context of this problem is defined as follows:

9d > 9.

(an inequality is solved similarly to an equality, isolating the desired variable, the difference is that the solution is composed by infinity values on an interval instead of a finite number of exact values).

To solve the inequality, we solve it similarly to an equality, isolating the desired variable d, hence the solution is given as follows:

d > 9/9 -> division is the inverse operation of multiplication.

d > 1.

The > symbol means that the solution is composed by values that are greater than 1, hence the options are 2, 4, 6 and 11.

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On integrating the function f(x), we get - (x³/45) + (3x²) - (2x³) + C.

        \($\int_a^b \! f(x) \, \mathrm{d}x.\)

Given is the function, as follows -

f(x) = (x²/15 + 6x - 9x²/{3/2})

The given function is -

f(x) = (x²/15 + 6x - 9x²/{3/2})

∫f(x) = ∫(x²/15 + 6x - 9x²/{3/2}) dx

∫f(x) = ∫(x²/15)dx + ∫(6x)dx - ∫(6x²)dx

∫f(x) = (1/15)(x³/3) + C₁ + (6)(x²/2) + C₂ - (6)(x³/3) + C₃

∫f(x) = (x³/45) + (3x²) - (2x³) + {C₁ + C₂ + C₃}

∫f(x) = x³/45) + (3x²) - (2x³) + C                  (C = C₁ + C₂ + C₃)

Therefore, on integrating the function f(x), we get (x³/45) + (3x²) - (2x³) + C.

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Answer: 7

Concept:

When encountering questions that ask for simplifying operation expressions, the order of operation would be following the PEMDAS method:

Solve:

Given expression

3 (2 - 5) + 4 (6 - 2)

Simplify values in the parentheses

=3 (-3) + 4 (4)

Simplify by multiplication

=-9 + 16

Simplify by addition

=\(\boxed{7}\)

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3(2 - 5) + 4(6 - 2)

By using the order of operations,

3(2 - 5) + 4(6 - 2)

3(-3)+4(4)

-9+16

7

I hope it helped U

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Answer:

$29.78

Step-by-step explanation:

30% is written as 0.3 in decimal form.

Find the amount taken off:

$42.54 · 0.3 ≈ $12.76

Then, subtract the original price by the amount taken off

$42.54 - $12.76 = $29.78

Conclusion:

The new price is $29.78

Answer:

im on my other acc

Step-by-step explanation:

lol

Problem 1:

1) 3/5x-1 x 3/4=9/10

3x/5-1 x 3/4=9/10

2) 3x/5-1 x 3/4=9/10

3x/5-3/4=9/10

3) 3x/5-3/4=9/10

+3/4 +3/4

4) 3x/5=33/20

5) 5 x 3x/5= 5 x (33/20)

6) 3x=33/4

7) 3x=33/4

/3 /3

8) x=11/4

Problem 2:

1) 6/7+2/5x=-4/5

6/7+2x/5=-4/5

2) 6/7+2x/5=-4/5

-6/7 -6/7

3) 2x/5= --58/35

4) 5 x 2x/5= 5 x (--58/35)

5) 2x= --58/7

6) 2x= --58/7

/2 /2

x= --29/7