Paul reads 5 pages in 4 minutes. How many pages can he read in 7 minutes?

Answer:

oxygen

Step-by-step explanation:

we breath it every day

Answer:

last one

Step-by-step explanation:

The function $f(x, y) = 11x - 5y$ has a global maximum of $105$ at $(0, 6)$ and a global minimum of $-54$ at $(0, -9)$, the first step is to find the critical points of the function.

The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

```

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

The function $f(x, y)$ takes on the value $105$ at $(0, 6)$, the value $-54$ at $(0, -9)$, and the value $-5x + 54$ on the boundary of the region.

Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

The first step is to find the critical points of the function. The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

We can evaluate the function at each of the critical points and at each of the points on the boundary of the region. The results are shown in the following table:

Point | Value of $f(x, y)$

The largest value in the table is $105$, which occurs at $(0, 6)$. The smallest value in the table is $-54$, which occurs at $(0, -9)$. Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

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the Area of the required wrapping paper will be 624 cm².

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given, a trapezoid prism, to find the area of required wrapping paper we need to find the surface area of the prism.

From the general formula of the area of the trapezoid prism:

The surface area of the trapezoid prism = 2(area of a trapezoid face) + sum of the area of all four side

In our case,

area of trapezoid face = 1/2(10 +6) *7

area of trapezoid face = 8*7 = 56

From the formula of the area of the rectangle:

Area of rectangle = length * width

Area of the first side = 16 * 8

Area of the first side = 128

Area of the second side = 6*16

Area of the second side = 96

Area of the third side = 16*8

Area of the third side = 128

Area of the fourth side = 16*10

Area of the fourth side = 160

Thus,

Area of trapezoid prism = 2 *56 + 160+128+128+96

Area of trapezoid prism = 624 cm²

Therefore, the Area of the required wrapping paper will be 624 cm².

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

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from the question;

we to find |x| when x = 15 and when x = -15

by definition of absolute value we have

Thats for every value of x, the absolute value is always positive

Hence,

Also

Therefore the correct answer is

Both values are 15

option B

Answer:

x=150

Step-by-step explanation:

i think this is it sorry if not

Common ratio is 1/5

5 * 1/5 = 1

1 * 1/5 = 1/5

1/5 * 1/5 = 1/25

Missing terms: 1 and 1/5

Answer:

27

Step-by-step explanation:

Answer:

A. 26

Step-by-step explanation:

We can just put in the value of x into the equation.

x(15 - x) = 15x - x²

            = 15 × 2 - 2²

            = 30 - 4

            = 26

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Step-by-step explanation:

here is it your

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comment down

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In a right - angled triangle, the square of the hypotenuse of a triangle is equal to the sum of the square of the other two sides.

Step 1: Make a right - angled triangle with base, perpendicular and hypotenuse has length of their side a, b, c respectively.

Step 2: Make squares on the base, perpendicular and hypotenuse with side length a, b and c respectively.

Step 3: Now measure the area of square with side b and a, which are on perpendicular and base of a triangle respectively.

Step 4: Measure the area of the with side c, which is on the hypotenuse of a triangle, area is: \(c^{2}\).

Step 5: Add the area of squares with sides a and b, sum of their area is: \(a^{2} + b^{2}\).

Observation and Result:

We will notice that the area of square with side a and b is equal to the area of square with side c.

⇒ \(a^{2} + b^{2} = c^{2}\)

∴ The square of the hypotenuse in a right-angled triangle is equal to the sum of the square of the other two sides.

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In a right  triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides.

Note that the area of ​​the square with sides a and b is equal to the area of ​​the square with side c.  

a² + b² = c²

Therefore, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

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The expression that represents the change in temperature for Day 1 is 23oF - (-8oF) and the value is 31oF

The given parameters from the question are:

Initial Temperature = -8oF

Final Temperature = 23oF

The expression that represents the change in temperature for Day 1 is represented as:

Change in temperature = Final Temperature - Initial Temperature

Substitute the known values in the above equation

Change in temperature = 23oF - (-8oF)

Remove the brackets

Change in temperature = 23oF + 8oF

Evaluate the sum

Change in temperature = 31oF

Hence, the expression that represents the change in temperature for Day 1 is 23oF - (-8oF) and the value is 31oF

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Complete question

At midnight, the temperature was -8oF. At noon, the temperature was 23oF.

Write an expression that represents the change in temperature for Day 1. Show how you can use properties of operations to find the value of the expression.

Answer:

f(-2)

Step-by-step explanation:

Answer:

- 53, - 207, - 7

Step-by-step explanation:

To obtain f(- 2), substitute x = - 2 into f(x), that is

f(- 2) = - 9(- 2)² + 5(- 2) - 7 = - 9(4) - 10 - 7 = - 36 - 10 - 7 = - 53

(b)

Similarly substitute x = 5 into f(x)

f(5) = - 9(5)² + 5(5) - 7 = - 9(25) + 25 - 7 = - 225 + 25 - 7 = - 207

(c)

f(0) = - 9(0)² + 5(0) - 7 = 0 + 0 - 7 = - 7

Answer:

a. n < k + 1

Step-by-step explanation:

Multiple linear regression model is used for analyzing the linear relationship between the independent variables and dependent variable. It is used when there is the need to predict the relationship of a variable based on the values of two or more other variables. These variables could be nominal, ordinal, or interval/ratio level variables.

Some assumptions of multiple linear regression analysis are:

i.  There must be a linear relationship between the outcome variable and the independent variables.

ii. The residuals are normally distributed.

iii. That the independent variables are not highly correlated with each other.

The assumption that there are no exact linear relationships among the independent variables in a multiple linear regression model fails if n < k + 1.

Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

4* (-1) - 2 (-2) = 0

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

According to the information we can infer that participants are likely to make more accurate decisions about which cards to flip over in the new version, likely because the new content makes the problem more concrete and relatable to everyday life (option B).

In the new version of the Wason four-card task, the content involves a familiar scenario of reading a textbook and receiving an exam grade. This scenario is more relatable to everyday life compared to the original version with abstract numbers and letters.

When a problem is relatable and has real-life context, participants tend to have a better understanding of the situation and are more likely to make accurate decisions. The content of the new version provides participants with a clearer mental model, allowing them to relate the "if-then" conditional statement to their own experiences.

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Answer:

80 spotted frogs

Step-by-step explanation:

We can write a ratio

spotted frogs:frogs

12:180

x:1200

To solve we just multiply 12*6.66667 (because this is what we multiplied 180 to get to 1200)

the answer is 80

The correct value that equates to this expression is 12‐³². Letter A

.

To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;\( \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ \)

\({ = \large \sf (12{}^{-4} ) {}^{8} } \)

\({ = \large \sf 12{}^{-4 \times 8} } \)

\( \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ \)

Therefore, the answer will be 12‐³²

17  is the value of discriminant for quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                               The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

The given Quadratic equation is

√2x² - 5x + √2 = 0

Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get

a = √2 , b = - 5 , c = √2

Value of Discriminant

      = b² - 4ac

      = (-5)² - 4 * √2 * √2

       = 25 - 8

       = 17      

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Answer:

9<✓88<10

Step-by-step explanation:

✓88 = 9.38083

Answer:

\(-\frac{1}{2}\)

Step-by-step explanation:

Answer:

means it is your as u know u are a ashile

Consider that the area (A) of a parallelogram with base (B) and height (H) is given by,

Observe the given diagram carefully.

As per the given data,

Note that here all the linear units are used in feet (ft).

Substitute the values in the expression of area, and simplify the expression,

Thus, the area of the given parallelogram is 117 square feet,

Answer:

(A) Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0

Step-by-step explanation:

Given;

p(x) = x³ + 24x² + 108x - 320

Using remainder theorem to test if x = 2 is a zero of the given function

p(2) = (2)³ + 24(2)² + 108(2) - 320

       = 8 + 96 + 216 - 320

        = 0

Thus, x = 2 is zero of the function

(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'

                     x² + 26x + 160

     x - 2    √ x³ + 24x² + 108x - 320

                 -  (x³ -  2x²)                      

                     0   + 26x² + 108x - 320

                          - (26x²  - 52x)                  

                               0      + 160x - 320

                                        -  (160x - 320)        

                                              0     +   0  

The quotient is x² + 26x + 160

The remainder is 0                      

Thus, the correct option is A.

Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0