Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Answer:

solution

-V=17-2

-V=15

Answer:

170ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its 170 25+30=55 55+55=160 but it's only 5 away so I could be wrong

The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.

Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.

This can be written as a decimal as 2.00 centimeters.

To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.

Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.

Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

Given,

From the figure:

The triangle which of the following equations correctly represents the relationship between a ,b, c

Now, According to the question:

The relationship between the three sides of a triangle ABC is:

\(c^2 = a^2 + b^2 - 2ab cos (90)\)°

From the diagram,

The angle opposite to c is 90°

Thus, \(c^2 = a^2 + b^2 - 2ab cos (90)\)

Hence, The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

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Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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Answer:

is it 21 or 2 whole?

Step-by-step explanation:

plz clarify the question first i am discombobulated

Answer:

x = 3.6

Step-by-step explanation:

By the Postulate of intersecting chords inside a circle.

\(x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\ \)

Answer:

it looks like the answer is the second one and makes more sense

90,000 units of the product has to be sold each year in other to break even.

The old established price = 42 per unit :

The break even unit is the number of units sold such that the net profit = 0

(expenses - income) = 0

The expenses = (Fixed cost + variable cost)

Fixed cost = 540000

Fixed cost = 540000Variable cost per unit = 36

Let the number of units required to break even = x

Expenses = income or revenue

(540000 + 36x) = 42x

540000 + 36x = 42x

540000 = 42x - 36x

540000 = 6x

x = 540000 / 6

x = 90000

Hence, 90,000 units has to be sold at the old established price in other to break even.

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Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

Answer:

22

Step-by-step explanation:

The tangent of a circle always form 90 degree angle with the radius. So measure of angle ABO and angle ACO is 90 degrees each.

The sum of angles of a quadilateral is 360 degrees. So,

Substitute the measures of angles in the equation to obtain the measure of angle BOC.

Thus, measure of angle BOC is 90 degrees.

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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The museum in relation to her hotel is at distance and direction as 3 blocks to the west and 4 blocks to the north.

Given that,

Ruby is visiting San francisco.

The figure representing the situation is given below.

Here it is easier to find the relation of the museum with the hotel.

When Ruby walk a certain distance to the west, she will reach straightly north to the museum.

Distance to the west = 7 - 4 = 3 blocks

Then she can walk 3 + 1 = 4 blocks to reach the museum.

Hence the museum is at a distance of 3 blocks to the west and 4 blocks to the north.

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Answer:

4 8 12 16

3 6 9  12

Step-by-step explanation:

Hello there!

To find the slope of a line, we need to know at least two points contained in the graph of the line.

The slope \(m\) of a line passing through the points \((x_0,~y_0)\) and \((x_1,~y_1)\) is given by the formula: \(m=\dfrac{y_1-y_0}{x_1-x_0}\).

As we can see on the graph, two points contained on the line are \((0,~3)\) and \((2,~0)\).

Using the formula above, we get that:

\(m=\dfrac{3-0}{0-2}\)

Subtract the values on both numerator and denominator of the fraction

\(m=-\dfrac{3}{2}~~\checkmark\)

This is the slope of this line we were looking for and is the answer contained on the 4th option.

Answer:

Like 30/150 ?

Step-by-step explanation:

Ur question is a lil confusing

Answer:

The probability of the combination {H, T and H} is 0.125.

Step-by-step explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

\(P(\text{H},\text{T and H}) = P(\text{H})\times P(\text{T})\times P(\text{H})\)

                        \(=0.50\times 0.50\times 0.50\\=0.125\)

Thus, the probability of the combination {H, T and H} is 0.125.

The percent extension and lengthening (in meters) for the deformed rock layers is 20%.

Percent extension refers to the amount of stretching that has occurred in a rock layer, expressed as a percentage of its original length.

To calculate percent extension, we would subtract the original length from the current length (120 - 100 = 20) and then divide that difference by the original length (20/100 = 0.2).

Finally, we would multiply by 100 to get the percent extension (0.2 x 100 = 20%).

Therefore, the percent extension of the rock layer would be 20%.

In summary, percent extension and lengthening are important concepts in geology that help us understand how rocks have been deformed over time.

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The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal brace. The Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (the diagonal brace in this case) is equal to the sum of the squares of the lengths of the other two sides (the two sides of the rectangular-shaped picture frame).

So, in this case, the length of one side of the rectangular-shaped picture frame is 33 inches and the length of the other side is 44 inches. Therefore, the length of the diagonal brace (h) can be calculated as follows:

h^2 = 33^2 + 44^2

h^2 = 1089 + 1936

h^2 = 3025

h = √3025

h = 55

Therefore, the length of the diagonal brace is 55 inches.

Answer:

The length of the diagonal brace is 55 inches.

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal brace. The Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (the diagonal brace in this case) is equal to the sum of the courts of the sizes of the other two sides (the two sides of the rectangular-shaped picture frame).

So, in this case, the length of one side of the rectangular-shaped picture frame is 33 inches, and the size of the other is 44 inches. Therefore, the size of the diagonal brace (h) can be calculated as follows:

h^2 = 33^2 + 44^2

h^2 = 1089 + 1936

h^2 = 3025

h = √3025

h = 55