select the correct answer. solve: -36 4/9-(-10 2/9)-(18 2/9​

Therefore, there are 60 ways of combination to form the committee of three members in the given scenario.

There are two cases to consider when forming a committee of three members with at most two girls:

Case 1: The committee has two girls and one boy.

There are 4 ways to choose the two girls from the 4 available, and 5 ways to choose the remaining boy from the 5 available. Therefore, there are 4 × 5 = 20 ways to form the committee in this case.

Case 2: The committee has only one girl.

There are 4 ways to choose the one girl from the 4 available, and 5 ways to choose the two boys from the 5 available. Therefore, there are 4 × 5C2 = 4 × 10 = 40 ways to form the committee in this case.

So the total number of ways to form a committee of three members with at most two girls is the sum of the number of ways from Case 1 and Case 2:

Total number of ways = 20 + 40 = 60.

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The expresion is 3(5 + 6). The expression is represented

All the possible composite numbers which is a whole number value for n between 20 and 80 are 49 and 77.

Method 1:

n is a composite number, that is, the product of two or more (not necessarily different) primes. Prime factors are never 2, 3, or 5. This is because at least one of the specified fractions is not included in the lowest term. The possible prime factors of n are 7, 11, 13, 17, and so on. Composites using these factors are 7 × 7, 7 × 11, 7 × 13, 11 × 11, and so on. Because only the first two composites are between 20 and 80, the only possible values ​​for n are 49 and 77.

Method 2:

Identify the integers between 20 and 80 that do not apply.

Start with the numbers 21, 22, 23. . ., 79. Since 2/n, 3/n, and 5/n are the lowest terms, we drop the multiples of 2, 3, and 5. This leaves 23, 29, 31, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, and 79. The possible values ​​of n are 49 and 77.

49 and 77 are possible composite whole number values for n between 20 and 80.

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The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation: hope this helps

Answer:

96 and 192

Step-by-step explanation:

This is a geometric sequence with a common ratio of 2 :

3 × 2 = 6

6 × 2 = 12

12 × 2 = 24

24 × 2 = 48

48 × 2 = 96

96 × 2 = 192

Therefore our final answers are 96 and 192

Hope this helped and have a good day

Answer: 68%

Step-by-step explanation:

From the table on the left-hand side, we observe that the total number of the surveyed seventh grade students is:

\(12+7+13+6=38\)

The number of seventh graders who do not play guitar is:

\(7+13+6=26\)

Hence, the probability that a randomly chosen seventh grader will play an instrument other than guitar is:

\(\frac{26}{38}\times 100\% = 68\%\)

Answer:

B

Step-by-step explanation:

Answer:

Since there is a curve, I believe it is a function.

Answer:

1.-4,-1,1,6

2.by substituting the values given, we get

32-|15+8|

32-|23|

32-23=9

3.-15+7=8

4..27-(-12)=27+12=39

5.-6.05+(-2.1)

-6.05-2.1=-8.15

6.-3/4-(-2/5)

-3/4+2/5

=-7/20

7.-9(-12)

=108

8.(3.8)(-4.1)

-15.58

9.(-8x)(-2y)+(-3y)(z)

(16xy)+(-3zy)

(16xy)-(3zy)

10.by substituting the value given,we get

2.5*(-3.2)+5

-8+5

-3

so here are the answers,mark as brainliest if u find it useful

thank you

Answer:

I don't know if I'm right at all

x 1/2 2

5 × x2 ^

Answer:

Question 13:C Question 12:D I think I already answered Question 20 and 21

same with 18 and 19 Question 24:C Question 25:B

Step-by-step explanation:

My brain is so pooped. hope these are right...

The investment generated $89.27 in simple interest, which is much less than the specified $2,677.50. Thus, the claim is untrue.

A formula known as Simple Interest (S.I.) is used to determine how much interest will be charged on a specified principal amount of money at a specific interest rate.. For illustration, if a borrower takes out a Rs.5000 at a rate of 10 p.a., On the amount borrowed over the course of those two years, they will be compelled to pay S.I.

We can use the following formula to determine the simple interest earned on a principal amount:

Simple Interest is calculated as (Principal Rate Time) / 100.

Where:

Primary is the original investment.

The yearly interest rate is called rate.

The length of investment is time. aged years

The following is a list of some of the most common questions that we get asked about our products.

The result of the formula is:

Simple Interest = (5100 × 3 × 210/365) / 100

= $89.27

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Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

a. Outcomes in the sample space: {Letting the car continue without stopping, Stopping the car and issuing a warning, Stopping the car and issuing a ticket}

b. Possible events: {Letting the car continue without stopping (A), Stopping the car and issuing a warning (B), Stopping the car and issuing a ticket (C), Any combination of events A, B, and C}

c. If she issues a warning, event B has occurred.

d. Probabilities: P(A) = 1/2, P(B) = 1/6, P(C) = 1/3

We have,

a.

Outcomes in the sample space:

Letting the car continue without stopping

Stopping the car and issuing a warning

Stopping the car and issuing a ticket

b.

Possible events:

Letting the car continue without stopping (Event A)

Stopping the car and issuing a warning (Event B)

Stopping the car and issuing a ticket (Event C)

Any combination of events A, B, and C

c.

If she issues a warning to the driver of a car, the event (B) "Stopping the car and issuing a warning" has occurred.

d.

Probabilities:

Let the probability of allowing the car to continue be denoted as P(A).

The probability of issuing a warning is P(B) = (1/3)P(A).

The probability of issuing a ticket is P(C) = 2P(B) = (2/3)P(A).

Since the probabilities of all possible outcomes must sum to 1, we have:

P(A) + P(B) + P(C) = 1

Substituting the probabilities, we get:

P(A) + (1/3)P(A) + (2/3)P(A) = 1

Simplifying the equation, we find:

(6/3)P(A) = 1

2P(A) = 1

P(A) = 1/2

Therefore, the probabilities for the outcomes in the sample space are:

P(A) = 1/2

P(B) = 1/6

P(C) = 1/3

Thus,

a. Outcomes in the sample space: {Letting the car continue without stopping, Stopping the car and issuing a warning, Stopping the car and issuing a ticket}

b. Possible events: {Letting the car continue without stopping (A), Stopping the car and issuing a warning (B), Stopping the car and issuing a ticket (C), Any combination of events A, B, and C}

c. If she issues a warning, event B has occurred.

d. Probabilities: P(A) = 1/2, P(B) = 1/6, P(C) = 1/3

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We will solve as follows:

*First: We determine the minimum number of triangles that should go in a row [Taking into account that there will be 1 empty triangular space of identical measurements but rotated 180°], that is:

*We determine the minimum number of triangles of the base dividing the length of the base of the rectangle by the length of the base of the triangle:

So, from this we will have that we would need 15 triangles for the base.

*We determine the number of triangles for the heigth of the rectangle:

*Now, we determine the total number of triangles we would need:

So we would need 1080 triangles to create the whole rectangular shape.

a) The equation:

Here "t" represents the number of triangles needed on the horizontal line and in the vertical line, but not taking into account the empty spaces due to them being triangles.

b)The area of the triangle:

The area of the rectangle:

c)The variable for the unkown quantity is "t".

d)We solve the equation.

The average cost when producing x items is found by dividing the cost function, C ( x ) = 10x + 360, for x > 4, the average cost is less than 100.

To determine when the average cost is less than 100, we can set up the inequality:

(C(x) / x) < 100

Given the cost function C(x) = 10x + 360, we can substitute it into the inequality:

(10x + 360) / x < 100

Next, we can simplify the inequality by multiplying both sides by x to eliminate the fraction:

10x + 360 < 100x

Now, let's solve for x by isolating it on one side of the inequality:

360 < 100x - 10x

360 < 90x

Dividing both sides of the inequality by 90:

4 < x

So, the average cost is less than 100 when x is greater than 4. In other words, if you produce more than 4 items, the average cost will be less than 100 according to the given cost function C(x) = 10x + 360.

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Answer:

Step-by-step explanation:

A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729

The (-3) to the sixth power, (-3)⁶, is equal to 729.

To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.

Now, let's calculate (-3)⁶ properly:

(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)

Multiplying -3 by itself six times:

(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729

Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.

By raising -3 to the power of 6, we obtain the result of 729.

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Answer:

16 questions

Explanation:

Please see the attached picture for the full solution.

There is exactly one intersection point between the two functions within the interval -360° ≤ x ≤ 360°. Therefore, the equation tan(x) = 100x has one solution in this interval.

The equation tan(x) = 100x is a transcendental equation, which means it involves a trigonometric function (tan) and a polynomial function (100x) and cannot be solved algebraically. However, we can determine the approximate number of solutions by analyzing the behavior of the functions involved.

In this case, we are looking for solutions in the interval -360 ≤ x ≤ 360. To visualize the equation, we can plot the graphs of y = tan(x) and y = 100x on the same coordinate plane.

The graph of y = tan(x) is a periodic function that oscillates between positive and negative infinity as x approaches certain values. These values are called asymptotes. In the interval given, the graph of y = tan(x) will have infinitely many vertical asymptotes at x = -90°, 90°, 270°, etc.

On the other hand, the graph of y = 100x is a straight line with a positive slope of 100. It intersects the y-axis at the origin (0, 0).

To find the number of solutions to the equation tan(x) = 100x, we need to count the number of times the graph of y = tan(x) intersects or touches the graph of y = 100x within the given interval.

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#1

Brand A unit price

\(\\ \sf\longmapsto \dfrac{13.99}{5.2}=2.69\)

Brand B unit price

\(\\ \sf\longmapsto \dfrac{16.06}{6.2}=2.66\)

By a ignorable 0.03 difference Brand B is better deal.

Answer:

the other one is right

Step-by-step explanation:

Answer:

what circle?

Step-by-step explanation:

lol

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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The particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

The given differential equation is dy/dx = x/y, where y cannot equal 0. It is a separable differential equation that can be solved by rearranging terms and integrating both sides.

To solve the differential equation dy/dx = x/y, we can begin by rearranging the equation to separate the variables. Multiplying both sides by y and dx, we get y dy = x dx. Now, we can integrate both sides:

∫y dy = ∫x dx

Integrating, we obtain (1/2)y^2 = (1/2)x^2 + C, where C is the constant of integration. Simplifying this equation, we have y^2 = x^2 + C.

To find the particular solution, we need an initial condition. Let's assume that at x = 0, y = y0. Substituting these values into the equation, we get y0^2 = 0^2 + C, which gives C = y0^2.

Therefore, the particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

It's important to note that the solution is valid as long as y ≠ 0, as division by zero is undefined.

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The functions are as follows:

Function f: R → R, f(x) = x²

Onto function: The function f is not an onto function since some negative numbers do not have square roots in real numbers.

One-to-one function: The function f is not a one-to-one function since for each positive number "x", there exist two values that we can input and get that positive number "x" output.

Example: Consider -4 which is a negative number. It doesn't have a square root in real numbers.

Function g: R → R, G(x) = x³

On to function: The function g is onto since every real number can be obtained by the function g.

One-to-one function: The function g is one-to-one since for each input "x" there is only one output.

Example: Consider the values x = 2 and x = -2. On inputting these values into the function, we get outputs 8 and -8 respectively. Thus, we get two different outputs for the same value h(x) = x³Function h: Z → Z, h(x) = x³On to function: The function h is onto since every integer has a cube root.

One-to-one function: The function h is not a one-to-one function since for each negative number "x", there exist two values that we can input and get that negative number "x" output.

Example: Consider the input -2. On input this value into the function, we get the output -8. But -(-2)³ = -8. Thus, we get two different inputs for the same value h(x) = x³.

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The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

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

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

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

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Answer:

C

Step-by-step explanation:

Hey! So first divide 234 by 18 to find a ratio. You would get 13:1. So apply this to y=91. 91/13 is 7.

Answer:

I could but can you please put down the problem.

Step-by-step explanation: