the charge for a 7 min call is Rs.42.
find the rate per min ​

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

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The distribution of Z=X+Y is gamma(1,10), which has a probability density function f(z) = 10 × e^(-10z), 0 ≤ z.

The moment generating function (mgf) of Z=X+Y can be found by taking the product of the mgfs of X and Y

Mz(t) = Mx(t) × My(t) = (e^(-4+4t))×(e^(-6+6t)) = e^(-10+10t)

We recognize that Mz(t) is the mgf of the gamma distribution with shape parameter k=1 and rate parameter λ=10. Therefore, Z=X+Y follows a gamma distribution with shape parameter k=1 and rate parameter λ=10.

In summary, the distribution of Z is gamma(1,10), which has a probability density function f(z) = λ^k × z^(k-1) × e^(-λz) / Γ(k) where k=1 and λ=10. Therefore, the probability density function of Z is f(z) = 10 × e^(-10z), 0 ≤ z.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What is the distribution of Z and the value of the parameter?

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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Answer:

15

Step-by-step explanation:

a square root multiplied by itself equals the number inside the box, right?

(/~15~)2 = 15

Answer:

15

Step-by-step explanation:

Squaring a square root of a number will just give you back the number since the square and the square root will cancel each other.

Answer:

the required answer are -8,0,4

Answer:

The green room is 12 (4x3)

The yellow room is 9 (3x3)

The red room is 12 (2x6)

Step-by-step explanation:

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

The python function code is written as follows.

The python function that takes four integer parameters and returns the count of parameters where the value is an even number. is as follows,

def count_even(*args):

   """

   Returns the count of even numbers among the given arguments.

   """

   count = 0

   for num in args:

       if num % 2 == 0:

           count += 1

   return count

# Example usage

result = count_even(2, 5, 6, 7)

print(result)  # Output: 2

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--The complete question is, Write a Python function that takes four integer parameters and returns the count of parameters where the value is an even number.--

Answer:

20/25

Step-by-step explanation:

its is another way to write it

Answer:

18 divided by nine is two. so for every one table spoon of oil there's two table spoons of vinegar. Please give brainliest

Answer:

2

Step-by-step explanation:

Make a ratio:

Oil : Vinegar

9 : 18

1 : 2

For each tablespoon of oil, 2 tablespoons of vinegar is needed.

Hope this helped.

Answer:

the eqaution would be

C=1.25h-0.5

The solution for 4 boxes would be

4.50 dollars

Step-by-step explanation:

Well c in this case is total

h is the amount of boxes

Since each box (h) cost $1.25 each, you multiply 1.25 by h.

Then that one time coupon off his total would be just -0.50

Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

The surface area of a square pyramid is equal to the sum of the ara of the base square and the four triangle.

Area of the base = 10cm * 10cm

Base area = 100 sq,cm

Find the area of a triangle

Area of triangle = 0.5 * 10 * 14

Area of a triangle = 70 square cm

Area of 4 triangles = 4(70) = 280 sq.cm

SA = 100 + 280

SA = 380 sq. cm

Hence the surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

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Answer:

1920

Step-by-step explanation:

Trust Me

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

The proportion of cars can get through the toll booth in less than 3 minutes is 67%.

Step-by-step explanation:

Let the random variable X be defined as the service times at a tool booth.

The random variable X follows an Exponential distribution with parameter μ = 2.7 minutes.

The probability density function of X is:

\(f_{X}(x)=\frac{1}{\mu}e^{-x/\mu };\ x\geq 0,\ \mu>0\)

Compute the probability that a car can get through the toll booth in less than 3 minutes as follows:

\(P(X<3)=\int\limits^{3}_{0} {\frac{1}{2.7}\cdot e^{-2.7x}} \, dx\)

                \(=\frac{1}{2.7}\cdot \int\limits^{3}_{0} {e^{-x/2.7}} \, dx \\\\=\frac{1}{2.7}\cdot [-\frac{e^{-x/2.7}}{1/2.7}]^{3}_{0}\\\\=1-e^{-3/2.7}\\\\=0.6708\)

Thus, the proportion of cars can get through the toll booth in less than 3 minutes is 67%.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

Answer:

B) 352

Step-by-step explanation:

45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

The width and length of the rectangle will be -1 units and 3 units, respectively.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

\(\text{Area of the rectangle = L x W square units}\)

The width of a square shape is 4 units less than the length. The region of the square shape is 12 square units. Then the equations are given below.

\(W = L - 4\)              ...1

\(L \times W = 12\)           ...2

From equations 1 and 2, then we have

\(L \times (L - 4) = 12\)

\(L^2 - 4L = 12\)

\(L^2 - 4L - 12 = 0\)

\(L^2 - 3L + 4L - 12 = 0\)

\(L(L - 3) + 4(L - 3) = 0\)

\((L - 3)(L + 4) = 0\)

\(L = 3, -4\)

Then the width of the rectangle is given as,

\(W = 3 - 4\)

\(W = -1 \ \text{units}\)

The width and length of the rectangular shape will be -1 units and 3 units, separately.

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Answer:

56% I believe

Step-by-step explanation: