2 1/6 - (-8/3) + (-4 7/9) =

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

ANSWERS

a. 1/2

b. 1001

c. 20

d. 8

e. 0.16

EXPLANATION

a. There are 4 women and 4 men on the hiring committee, which is a total of 8 people. The probability that a randomly selected person is a woman is,

Hence, the probability that the person drawing the names from the hat is a woman is 1/2.

b. The applicant pool consists of 6 database administrators and 8 network engineers, which is a total of 14 applicants. We want to choose 4 applicants,

Hence, there are 1001 ways to choose the group to be hired.

c. There is a total of 6 database administrators, and we want to choose 3,

Hence, there are 20 ways of choosing 3 database administrators.

d. There is a total of 8 network engineers, and we want to choose 1,

Hence, there are 8 ways of choosing 1 network engineer.

e. In part b, we found that there is a total of 1001 ways of choosing the 4 people to be hired. Also, in parts c and d, we found that there are 20 ways of choosing 3 database administrators and 8 ways of choosing 1 network engineer. The probability that this is the combination of people hired is,

Hence, the probability that the random selection of four persons to be hired will result in 3 database administrators and 1 network engineer is approximately 0.16.

Using rules of exponents,

Miguel:

Law-1: Rule of the product of powers: When multiplying like bases, add the powers together.

Law-2: Power of powers rule: When increasing a power by another exponent, multiply all the powers together.

Gia:

Law-1: Power of powers rule: When increasing a power by another exponent, multiply all the powers together.

Law-2: Rule of the product of powers: When multiplying like bases, add the powers together.

The work of simplifying exponent-based assertions is made easier by exponent rules, often known as the "laws of exponents" or "properties of exponents." These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.

Here in the question:

We can see that in case of Miguel,

He first added the powers as the bases are same. Then he multiplied the powers together.

In case of Gia, it is vice versa:

Gia first multiplied the powers of the individual components and raised the powers accordingly.

Then further she added the powers of the like bases.

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Answer: The set does not have a solution

Step-by-step explanation:

Adding Equations 1 & 3 we get 5x = 7. This gives x = 7/5

Putting this value of x in eq. 2 we get

-2y + 2z = -1-(7/5) or

2y - 2z = 12/5  or  5y - 5z = 6

Multiplying eq. 1 by 2  we get  

4x + 2y - 2z = 6

adding this with eq. 2 we get 5x = 5 or x = 1

As the common solution for x from equations 1&3 does not satisfy eq. 1&2 it comes out that the three equations do not have a common solution.

Same can be verified by using different sets of two equations also.

The area of the shaded region is \(154cm^2\)

The formula for solving the area of a circle is:

\(\pi r^2\)

Where \(\pi\)= 3.14

r= 7cm

To find the area, we would input the values together

\(3.14 * 7^2\)

= 3.14 * 49

= 153.86cm^2

Rounded to the nearest tenth would be:

154cm^2

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Answer:

5 pints

Step-by-step explanation:

every 2 cups is 1 pint

10 Divide by 2 is 5

4 cups = 2 pints

6 cups = 3 pints

8 cups = 4 pints

10 cups = 5 pints

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

a

Step-by-step explanation:

bece u sr gģ v vyvy bleh gm have g GMV Espanola unmet yucky nvm i gifted go by Grau Cinco

The net present value of the project is $0.15 million.

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

hee, we have,

The first step is to determine the cash flow of the project.

Cash flow = (sales - cost - depreciation) × (1 - tax) + depreciation

Depreciation = (cost of the asset ) / useful life

Depreciation = $2.18 million / 3

Depreciation = 0.727 million

Cash flow = (1.645 -  0.61 - 0.727) x (1 - 0.21) + 0.727 = $0.97 million

Net present value = -2.18 million + 0.97 / 1.12 +  0.97 / 1.12² +  0.97 / 1.12³

= $0.15 million

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Answer:

no

Step-by-step explanation:

there is a difference between these two integers as 9.91 is 0.01 more then 9.0,

they are therefor not equivalent

Answer:

mZCAD=310°

Step-by-step explanation:

M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°

Answer:

is there a picture because need to see it

Answer:

Parentheses

Step-by-step explanation:

In order to factor by grouping you need parentheses.

Answer:

18 yards

Step-by-step explanation:

Let's set up a proportion using the following setup.

inches / yards = inches / yards

We know the scale is 1 inch to 6 yards.

1 inch / 6 yards = inches / yards

We know the model plane is 3 inches tall, but we don't know how tall the real plane is. Therefore, we can it is 3 inches to x yards.

1 inch / 6 yards= 3 inches / x yards

1 /6= 3/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

1*x= 6*3

1x= 6*3

x= 6*3

x=18

x= 18 yards

The real plane is 18 yards.

Answer:

104

Step-by-step explanation:

Let's say that the numbers are x and y. So, we know that....

x+y=186

y-x=22

Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.  

x+22+x=186

2x=164

x=82

y=22+82

y=104

Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.

Answer:

I believe the answer is 104.

Step-by-step explanation:

Because 186 - 104 = 82 and 104 - 22 = 82.

1: The data for table described below.

2: The zeroes are:

x= -2.0613

x= -1.082

x= 2.0613

x= 1.082

3: Point of relative maxima: (0,4)

    Point of relative minima:  (2, -4)

The given function is,

f(x) = 0.5\(x^{4}\) - 4\(x^{2}\) + 4

Now to the given value so x one by on to complete the table,

Put  x = -3

f(x) = \(0.5(-3)^{4}\) - \(4(-3)^{2}\) + 4

f(x) = 56.5

Put  x = -2

f(x) = \(0.5(-2)^{4}\) - \(4(-2)^{2}\) + 4

f(x) = 20

Put  x = -1

f(x) = \(0.5(-1)^{4}\) - \(4(-1)^{2}\) + 4

f(x) = 8.5

Put  x = 0

f(x) = \(0.5(-0)^{4}\) - \(4(-0)^{2}\) + 4

f(x) = 4

Similarly

At x = 1,

f(x) = 0.5

At x = 2,

f(x) = 4

At x = 3,

f(x) = 32.5

Now plot the graph of the given function,

We have,

zeroes at

x= -2.0613

x= -1.082

x= 2.0613

x= 1.082

Relative maxima is at (0, 4)

Relative minima at (2, -4)

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Answer:

A.

Explaintion:

n=13. 13+2 = 15

I hope this helps ( :

Answer: B

Step-by-step explanation:

because 4 is the number of (n) plus the 2

Answer:

\((x,f(x)) = (-1,8)\) -- Another point

\(a = 8\)

Step-by-step explanation:

Given

\(f(x) = a|x|\)

\((x,f(x)) = (1,8)\)

Solving (a): Another point

Substitute 1 for x and 8 for f(x) in \(f(x) = a|x|\)

\(8 = a|1|\)

Remove absolute bracket

\(8 = a*1\)

\(8 = a\)

\(a = 8\)

Substitute 8 for a in \(f(x) = a|x|\)

\(f(x) = 8|x|\)

Let x = -1

\(f(x) = 8|-1|\)

Remove absolute bracket

\(f(x) = 8*1\)

\(f(x) = 8\)

So, another point is:

\((x,f(x)) = (-1,8)\)

Solving (b): The value of a

This has been solved in (a) above

\(a = 8\)

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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2×(4×3)?24

4×3=12

12×2=24

(2×4)×3=24

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:x= 16.5

Step-by-step explanation:as both the triangles are similar, then

AB/ PQ=AC/ PR

16/24=18/(2x-6)

x= 16.5

Answer:

(i) log 1 base 2 = log_{2} 1 =1.30103

Step-by-step explanation:

pl z give me brainliest i don't have any

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

An additional assumption is that a is not negative.

Step-by-step explanation:

If a could be negative, then:

(-7)^2 < 3^2  would be false because

49 is not greater than 9

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Measure of arc KL = 152°

Now, We know that;

⇒ m (arc LK) + m (arc KJ) = 180°

Substitute given values, we get;

⇒ 152° + m (arc KJ) = 180

⇒ m (arc KJ) = 180 - 152

⇒  (arc KJ) = 28 degree

Thus, The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

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Answer:

Third answer: "The lines intersect at a right angle"

Step-by-step explanation:

The definition of perpendicular lines is precisely that they share the same plane and intersect at a right angle.

Answer:

40%

Step-by-step explanation:

i used a calculator