A student can eat 1/8 of a pizza If there are 40 students in Ms. Leila's class, how many pizzas does Ms. Leila need

pls i need it

Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

Therefore, the distance between the given vectors is as follows. ∥u - v∥ = 2√2 for u = (1, -1), v = (-1,1)∥u - v∥ = 2√3 for u = (1, 1, 2), v = (-1,3,0)∥u - v∥ = 3 for u = (1, 2, 0), v = (-1,4, 1)∥u - v∥ = √10 for u = (0, 1, - 1, 2), v = (1, 1, 2, 2)

Distance between two vectors can be found using the formula: ∥u - v∥, which is the magnitude of the difference vector. So, using this formula and the given values of vectors, the distance between two vectors can be calculated as follows.

19. u = (1, -1), v = (-1,1)Distance between two vectors, ∥u - v∥= √[(1 - (-1))² + ((-1) - 1)²]= √[(1 + 1)² + (-2)²]= √[2² + 2²]= √8= 2√220. u = (1, 1, 2), v = (-1,3,0)

Distance between two vectors, ∥u - v∥= √[(1 - (-1))² + (1 - 3)² + (2 - 0)²]= √[(1 + 1)² + (-2)² + 2²]= √[2² + 4 + 4]= √(12)= 2√3ll21. u = (1, 2, 0), v = (-1,4, 1)

Distance between two vectors, ∥u - v∥= √[(1 - (-1))² + (2 - 4)² + (0 - 1)²]= √[(1 + 1)² + (-2)² + (-1)²]= √[2² + 4 + 1]= √(9)= 3(22) u = (0, 1, - 1, 2), v = (1, 1, 2, 2)

Distance between two vectors, ∥u - v∥= √[(0 - 1)² + (1 - 1)² + (-1 - 2)² + (2 - 2)²]= √[(-1)² + 0² + (-3)² + 0²]= √(10)

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If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between x and y is a strong negative relationship.

A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.

This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.

By calculating the covariance using the following expression, we have:

Cov(X, Y) = E(XY) - E(X)E(Y).

E(X) = 5, E(Y) = 6 and E(XY) = 21.

In conclusion, we can infer and logically deduce that the relationship between x and y is a strong negative relationship.

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Complete Question:

If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X and Y is a:

-strong positive relationship

-strong negative relationship

-weak positive relationship

-weak negative relationship

The graph of ƒ has a point of inflection  is (D) -3.259, 0, and 1.603

To determine if a function has a point of inflection, we need to find the values of x where the second derivative changes sign from positive to negative or vice versa. The sign of the second derivative at a point determines the concavity of the function at that point. If the second derivative is positive, the function is concave up, and if it is negative, the function is concave down.

Since ƒ"(a)=x² cos(2a+22), we can see that the second derivative is positive for x²>0. So the function is concave up when x²>0, which means when x is in the interval (-∞,0)∪(0,∞).

Since the interval (-4,3) includes both negative and positive values of x, the graph of ƒ may have a point of inflection within this interval. To determine the exact points of inflection, we need to find the values of x where the second derivative equals zero or is undefined.

Therefore, the answer is (D) -3.259, 0, and 1.603.

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Answers are attached

The slope of the given equation y = -5x is -5.

The equation y = -5x is a linear equation, which means that it is a function that can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. The slope of a linear equation is the coefficient of x in the equation. In this case, the coefficient of x is -5, so the slope of the equation is -5.

It's worth noting that the slope represents the rate of change of the y-coordinate with respect to the x-coordinate, in other words, the steepness of the line. A slope of -5 means that for each unit increase in the x-coordinate, the y-coordinate will decrease by 5 units.

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The complete question is -

What is the slope of y = -5x?

The values of z satisfying the equation cos(z) = sin(z) can be expressed as

z = log(e^(2nπ)) and z = 4π + 2nπ, where n is an integer.

To find the values of z that satisfy cos(z) = sin(z), we can use the trigonometric identity sin(z) = cos(π/2 - z). Substituting this into the equation, we have cos(z) = cos(π/2 - z). Now, using the identity cos(a) = cos(b) if and only if a = ±b + 2nπ, where n is an integer, we can equate the arguments of the cosines: z = π/2 - z + 2nπ.

Simplifying this equation, we get 2z = π/2 + 2nπ, which leads to z = (π/2 + 2nπ)/2. Further simplification gives z = π/4 + nπ. This equation represents all the possible solutions for z.

We can also express the solutions as z = 4π + 2nπ, where n is an integer, since π/4 + nπ is equivalent to 4π + 2nπ. Hence, the values of z satisfying cos(z) = sin(z) are given by z = log(e^(2nπ)) and z = 4π + 2nπ, where n is an integer.

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Answer:

X >-5

Step-by-step explanation:

The table shows the equivalent ratios 40:8 which can be simplified to 5:1. Equivalent ratios can be found by multiplying or dividing both the numerator and denominator by the same nonzero number. Ratios are useful in various real-life situations, such as cooking, map scaling, finance, and sports.

The table shows the equivalent ratios 40:8. The ratio 40:8 can be simplified by dividing both the numerator and the denominator by their greatest common factor (GCF) which is 8. Thus, the simplified ratio would be 5:1. This means that for every 5 units of the first quantity, there is 1 unit of the second quantity.In general, equivalent ratios are two ratios that express the same relationship between two quantities, but may have different values.

Equivalent ratios can be found by multiplying or dividing both the numerator and denominator by the same nonzero number.For example, if the given ratio is 2:3, then an equivalent ratio can be found by multiplying both the numerator and denominator by 2, resulting in 4:6. Similarly, another equivalent ratio can be found by dividing both the numerator and denominator by 3, resulting in 2/3.

There are various ways in which ratios can be used in practical situations. For instance, in cooking, ratios are used to determine the right proportions of ingredients to be used. In map scaling, ratios are used to scale down or up distances on the map. In finance, ratios are used to analyze financial statements and measure financial performance.

In sports, ratios can be used to compare athletes’ performances, such as goals scored in soccer, points scored in basketball, or runs scored in baseball.

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Answer:

(a) \(A=1600(1+\frac{0.0375}{12})^{12t}\)

     (where \(A\) is the account balance and \(t\) is the time in years)

(b) $1,929.40

Step-by-step explanation:

Compound interest formula

\(A=P(1+\frac{r}{n})^{nt}\)

where:

Given:

Substituting these values into the formula:

\(\implies A=1600(1+\frac{0.0375}{12})^{12t}\)

(where \(A\) is the account balance and \(t\) is the time in years)

Part (b)

Substitute \(t=5\) into the equation created in part (a):

\(\implies A=1600(1+\frac{0.0375}{12})^{12\cdot 5}\)

\(\implies A=1600(1.003125)^{60}\)

\(\implies A=1929.404236...\)

\(\implies A=1929.40\)

Therefore, her account balance after 5 years will be $1,929.40

Hình thức thay thế :

7 x^2 + 7 x y - 2

7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)

x (7 x + 7 y) - 2

Dẫn 1 phần :

d/dx(7 x (x + y) - 2) = 7 (2 x + y)

d/dy(7 x (x + y) - 2) = 7 x

Answer:

reflexive property

Step-by-step explanation:

reflexive property states that a number equals itself, a = a, so since 16 = 16, or 16 equals itself, it's reflexive.

Answer:

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Therefore, function of x f(f(2)) = f(-3) = 9

To find  function of f f (2) we need to find the function f(2).

Given  f(3x - 1) = -6x + 3

Let  3x -1 = 2  we will get

3x =3

x =1

Therefore, let input x =1

f(3x - 1) = -6x + 3

f(3(1) - 1) = -(1) + 3

Therefore, we need to find function of f(-3) and get  f f (2).

f f (2). =f(-3) =9

f(3x - 1) = -6x + 3

f(-3) = -6(-1) + 3 =9

Therefore, if f(3x - 1) = -6x + 3, function of f(f(2)) = f(-3) = 9

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

plug 2 in for x and solve.

5(2)-7=3

Answer:

6

Step-by-step explanation:

\(\sqrt{10^{2} -8^{2} }\) = 6

Answer:

b = 6

Step-by-step explanation:

Pythagorean formula:

a² + b² = c²

Work:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

b² = 100 - 64

b² = 36

\(\sqrt{b^2} =\sqrt{36}\)

b = 6

Answer:

Jack's birthday is in 56 days.

The jumps end at point 56 on the number line.

Step-by-step explanation:

Since one week has 7 days.

So, 8 week = 8 x 7 =56 days.

Hence, Jack's birthday is in 56 days.

On the number line, the current time is being represented by 0.

When I take one jump from 0, I will reach the point 1 on the number line, which corresponds to 1 day.

Again, in my 2nd jump from point 1 on the number line, the next point on the number line will be 2 which corresponds to 2 days.

This process repeats until I complete the 56 jumps to get point 56 on the number line, which corresponds to 56 days.

In this way, the number line can be used to solve.

Hence, the jumps end at point 56 on the number line.

The gross pay for a 50-hour week is $719.625.

To find what is the gross pay for a 50-hour week:

Given - A baker starts at $14.25 per hour with time and a half hrs worked after 40 hours and double time on Sunday with every other Saturday and Sunday off.

So,

Therefore, the gross pay for a 50-hour week is $719.625.

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Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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the distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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Answer:

There is only one shape who is similar to A which is the pink one.

Step-by-step explanation:

Every polynomial in P2 can be written as a linear combination of the three polynomials.

Polynomials in P2: x² + x + 2, x² + x + 1.

In order to show that every polynomial in P2 can be written as a linear combination of the given three polynomials, we need to verify if the three polynomials are linearly independent.

To do this, we set up an equation of the form:

Ax² + B(x-1)³ - C(x + 1)³ + D(x² + 2x + 1) = 0,

where A, B, C, and D are constants.

To check if this equation is true, we need to evaluate it at several different values of x.

By choosing four different values of x, we will get four equations, which can be used to solve for the constants A, B, C, and D.The values of x that we can choose are: x = -1, x = 0, x = 1, and x = 2.

Evaluating the equation at these values, we get:

For x = -1: A - 8B - 8C + 4D = 0

For x = 0: A - C + D = 0

For x = 1: A + 8B + 8C + 4D = 0

For x = 2: 4A + 64B - 64C + 16D = 0

Now we need to solve this system of equations for A, B, C, and D.

We can use any method we prefer, but it is easiest to use a matrix. Using a matrix, we can write this system of equations in the form: Ax = b,

where x is the vector of unknowns (A, B, C, and D), and b is the vector of constants (0, 0, 0, 0).

The augmented matrix for this system of equations is:

[1 -8 -8 4 0][1 0 0 -1 0][1 8 8 4 0][4 64 -64 16 0]

We can solve this matrix using Gaussian elimination.

Performing the following operations on the matrix, we can solve for A, B, C, and D.

R2 - R1 => [1 -8 -8 4 0][0 8 8 -5 0][1 8 8 4 0][4 64 -64 16 0]

R3 - R1 => [1 -8 -8 4 0][0 8 8 -5 0][0 16 16 8 0][4 64 -64 16 0]

R4 - 4R1 => [1 -8 -8 4 0][0 8 8 -5 0][0 16 16 8 0][0 96 -32 0 0]

R4 - 12R2 => [1 -8 -8 4 0][0 8 8 -5 0][0 16 16 8 0][0 0 128 60 0]

R3 - 2R2 => [1 -8 -8 4 0][0 8 8 -5 0][0 0 0 18 0][0 0 128 60 0]

R3/18 => [1 -8 -8 4 0][0 8 8 -5 0][0 0 0 1 0][0 0 128 60 0]

R2 + 5R3 => [1 -8 -8 4 0][0 8 0 0 0][0 0 0 1 0][0 0 128 60 0]

R1 + 8R2 - 32R3 - 2R4 => [1 0 0 0 0][0 8 0 0 0][0 0 0 1 0][0 0 0 0 0]

Therefore, the constants are: A = 0, B = 0, C = 0, and D = 0.

This means that the three polynomials are linearly independent and span P2.

Therefore, every polynomial in P2 can be written as a linear combination of the three polynomials.

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Therefore, any polynomial in P2 can be written as a linear combination of x² + 2x + 1, (x-1)³ - (x + 1)³, and x² + 4x +4.

The polynomials in P2 are:x² + x + 2x² + x - 1x² + x + 1

Since a polynomial is in P2, its degree is less than or equal to 2, which means that its highest power is 2.

To show that every polynomial in P2 can be written as a linear combination of the following three polynomials:

x² + 2x + 1, (x-1)³ - (x + 1)³,

and x² + 4x +4,

we will follow these steps:

Step 1: Set the three polynomials as linear combinations of themselves:

x² + 2x + 1 = 1(x² + 2x + 1) + 0[(x-1)³ - (x + 1)³] + 0(x² + 4x +4)(x-1)³ - (x + 1)³ = 0

(x² + 2x + 1) - 1[(x-1)³ - (x + 1)³] + 0(x² + 4x +4)x² + 4x +4 = 0(x² + 2x + 1) + 0[(x-1)³ - (x + 1)³] + 1(x² + 4x +4)

Step 2: For any polynomial ax² + bx + c in P2, set it as a linear combination of the three polynomialsa

x² + bx + c = a(x² + 2x + 1) + b[(x-1)³ - (x + 1)³] + c(x² + 4x +4)

The three polynomials are linearly independent because there are no constants a, b, and c that can make a(x² + 2x + 1) + b[(x-1)³ - (x + 1)³] + c(x² + 4x +4) equal to zero for all x.

However, it is known that the three polynomials span P2 because any polynomial in P2 can be expressed as a linear combination of the three polynomials.

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A ratio describes a relationship between two or more quantities. When mixing colors, ratios are often used to determine the ratio of different colors required to achieve a desired hue. Ratios can be expressed in 1:, 2:3,.. etc.

Ratios affect the appearance of paint colors. In this scenario, Can A has a higher percentage of red than can B. This means that the shade of pink you get with Can A is likely to be darker and more red due to the higher concentration of red.

Can B, on the other hand, has a lower percentage of red, suggesting that the resulting pink hue is lighter and less red than can A.  

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The relationships are not proportional.

One of the lines, as x increases, y increases

Another, when x increases, y decreases.

Answer:

The length of line segment AB is 5.

Step-by-step explanation:

Envision a right triangle that has one acute vertex at (-4, 2) and the other at (0, 5).  The horizontal distance from the first to the second vertex is 0 - (-4) = 4, and the vertical distance is 5 - 2 = 3.

Then the length of the hypotenuse, according to the Pythagorean Theorem, is

d = √(4² + 3²) = 5

The length of line segment AB is 5.  Note that this is a 3-4-5 triangle, and so 3² + 4² = 5²

Answer/Step-by-step explanation:

The option (B) (2, 5), (3, 6), (6, 9) is a function.

Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

"f(x) = ... " is the classic way of writing a function.

For the given situation,

The list of ordered pairs are given in option.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

According to the definition, the ordered pair should not have same x value.

Thus in option B (2, 5), (3, 6), (6, 9), each input is related to exactly one output.

Hence we can conclude that the list of ordered pairs of option (B) (2, 5), (3, 6), (6, 9) is a function.

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