Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1

Answer:

A. 390

Step-by-step explanation:

An exponential function can be written in the form \(f(n)=a\times b^n\), where \(a\) is your starting population, \(b\) is the factor by which the population increases, and \(n\) is the number of terms. In this case, \(a=740\), \(b=0.88\) because the population decreases by 12 percent (1-0.12=0.88), and \(n=5\).

Thus, \(f(5)=740 \times 0.88^5\), which is roughly equal to 390.

Answer:

y = -2, 1, 4, 7 (in order)

Step-by-step explanation:

Plug in the value of x into the equation to find y.

For example for -1, plug in x as -1 into the equation.

y = 3(x) +1

y = 3(-1) + 1

y = -2

Similarly plug in the x to find the rest of the values for y.

Answer:

110

Step-by-step explanation:

28<30 the diiffrent model of the mobile phone displayed the frequency below missing infomation which would make it 180

Answer:

The answer is C.) $4,000

The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Answer:

C) f(x) = 1500(2.15)x

Step-by-step explanation:

Got it right on Edge :)

Answer:

x=15

Step-by-step explanation:

well by angles in parallel lines

angle 1 is equal angle 2

so we have

\(7x=5x+30\\\\7x-5x=30\\\\2x=30\\\\x=15\)

Answer:

15

Step-by-step explanation:

Since angles 1 and 2 are known as "alternate interior angles", they are equal to each other.

Since they are equal, we can set the equations equal to each other as well.

7x = 5x + 30

-5x  -5x

2x = 30

x = 15

Answer:

D. 22

Step-by-step explanation:

I took the test

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Therefore, the correct answer is A. Y intercept will be less and X will be less.

A graph is a visual representation of data that shows the relationship between two or more variables. Graphs are commonly used to display information in a way that is easy to interpret and analyze. They are often used in fields such as science, mathematics, economics, and engineering to help illustrate and explain complex data.

Here,

The introduction of a cost of 0.25 cents per mile for the driver would be an additional expense for the trucking company, and would affect their profit. This means that the profit values (on the y-axis) would decrease for each point on the graph. However, the miles traveled (on the x-axis) would remain the same as the cost of the driver is proportional to the distance traveled.

Therefore, the y-intercept of the graph (the profit when the truck has traveled zero miles) would be less than it was before, because the trucking company has a new cost that reduces their overall profit. However, the x-intercept (the point where the profit is zero) would remain the same, as this point is determined solely by the revenue and cost of the trucking company.

The slope of the graph would also be affected, as the profit now decreases at a faster rate as the miles traveled increase. The new slope would depend on the specific values of the revenue, costs, and driver expenses for the trucking company, but in general, it would be steeper than before.

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Answer:

The height of the lighthouse is of 30m.

Step-by-step explanation:

This situation can be represented by a right triangle.

The tangent of the angle is 3/4.

The tangent in a right triangle is given by the opposite side divided by the adjacent side.

What is the height of the lighthouse if A is 40 m from the base?

The height of the light house is the opposite side, which we want to find.

The distance is the adjacent side, which we have that is 40. So

\(\tan{A} = \frac{x}{40}\)

\(\frac{3}{4} = \frac{x}{40}\)

\(4x = 40*3\)

\(4x = 120\)

\(x = \frac{120}{4}\)

\(x = 30\)

The height of the lighthouse is of 30m.

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

\(P(A \cap B) = P(A) \times P(B)\)

In this question:

\(P(A \cap B) = \frac{63}{200}\)

\(P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}\)

Since \(P(A \cap B) = P(A) \times P(B)\), these events are independent.

In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.

option (d) is correct [ans]

An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.

Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.

We write " Let k = n+1 or assume n = k+1".

And then, we say that, it is obvious that

n < k = n+1 < n+2 for any integer n.

Hence, option (d) is correct [ans]

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a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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Answer:

slope = -3

Step-by-step explanation:

⭐ What is the equation of a line in slope intercept form?

The given line of best fit is written in slope-intercept form. All we have to do is identify which term is the slope.

\(y = -3x + 5\)

-3 is the coefficient of x. Therefore, -3 is the slope.

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

Answer:

\(5565\)

Step-by-step explanation:

\(1+2+3+4...+113+114=\frac{114*115}{2} =6555\)

\(1+2+3+4 ... +43+44=\frac{44*45}{2} =990\)

Thus, \(45+46+47+48...+113+114=\) \(6555-990=5565\)

The predicted population in the year 2030 is 10 people

From the question, we have the following parameters that can be used in our computation:

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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k(x)=3h(x)+4x^4/g(x). given the following table of values,  k'(-1) will be 3.

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable in mathematics. A crucial calculus technique is the derivative. the procedure for determining a function's derivative, or rate of change, in mathematics. Differentiation is the method used to calculate a function's derivative. The derivative is the rate at which two variables, x and y, change relative to one another.

Given Data

k(x) = -3h(x) + \(\frac{4x^{4} }{g(x)}\)

k(x) = -3h'(x) + 4\(\frac{4x^{3} g(x)- x^{4}g'(x) }{gx^{2} }\)

k'(-1) = -3h'(-1) + 4 \(\frac{4g(-1)-g(-1)}{g(-1)^{2} }\)

k'(-1) = -3(-1) + 4(0)

k(-1) = 3 + 0

k'(-1) = 3

k(x)=3h(x)+4x^4/g(x). given the following table of values,  k'(-1) will be 3.

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Answer:

11 yards and 3 feet

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.

The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.

The length of the rectangular field = 70 meters

The width of the rectangular field = 50 meters

The width of the path around the field = Uniform width

Area of the path around the field = 104 m²

Let x represent the width of the path, we get;

(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104

4·x² + 240·x = 104

4·x² + 240·x - 104 = 0

The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;

\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;

a = 4, b = 240, c = -104

Therefore;

\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)

x ≈ 0.430 or x ≈ -60.4

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Answer:

problem list

Step-by-step explanation:

huguih

Answer:

is the answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

at least I think it is

The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.

The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.

When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.

To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.

For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.

In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.

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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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Answer:

50

Step-by-step explanation: