Were does 10/5 go on the number line

Answer:

\( →- 9f( \frac{1}{3f}) + \frac{2}{3} \\= - 9( \frac{1}{3} ) + \frac{2}{3} \\=-\frac{9}{3}+\frac{2}{3} \\=\frac{(-9+2)}{3}\\=\boxed{\frac{-7}{3}}✓\)

Answer:x^2=2^2+4^2. x=4.47

Step-by-step explanation:

Opposite=m=2

Adjacent=n=4

Hypotenuse=x

x^2=m^2+n^2

x^2=2^2+4^2

x^2=4+16

x^2=20

x=√20

x=4.47

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The system of equations in which 2,-1 is a solution to equation 1 but not a solution of equation 2, and 5,-5 is a solution of the system is given as follows:2x + y = 3 --- (Equation 1)x - y = 10 ---- (Equation 2).

To solve the question of writing a system of equations in which 2,-1 is a solution to equation 1 but not a solution of equation 2, and 5,-5 is a solution of the system, below is the solution. For a given system of equations: Equation 1: 2x + y = b

Equation 2: ax + by = c where a, b, and c are constants. To find a system of equations in which 2,-1 is a solution to equation 1 but not a solution of equation 2, and 5,-5 is a solution of the system, substitute the given values in the two equations as follows;

Equation 1: 2x + y

= b2(2) + (-1)

= 3

⇒ b = 3

Substituting in equation 1, we have: 2x + y = 3 --- (Equation 1)

Equation 2: ax + by

= c5x + (-5)y

= c ---- (Equation 2)

Substituting the given solution, 5,-5, in equation 2, we get:

5(5) - 5(-5) = c

⇒ 50 = c

Substituting c in equation 2, we get:

5x + (-5)y = 50

⇒ x - y = 10 ---- (Equation 2)

Therefore, the system of equations in which 2,-1 is a solution to equation 1 but not a solution of equation 2, and 5,-5 is a solution of the system is given as follows: 2x + y = 3 --- (Equation 1)x - y = 10 ---- (Equation 2)

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So, there are 40320 different ways in which the question with 8 answer choices can be displayed to each student in random order.

A multiple-choice question with 8 answer choices can be displayed to each student in random order in 40320 different ways.

When answer choices are displayed in random order to each student, the order in which the choices are presented becomes an important factor in determining the number of possible combinations. In this case, each choice has 8 possible positions, so the first choice can be presented in 8 different ways. Once the first choice has been assigned, the second choice has 7 remaining positions, and so on, down to the last choice which has only one possible position.

To calculate the total number of possible combinations, we use the concept of factorial. Factorial is a mathematical operation that returns the product of all positive integers up to a given number. In this case, 8! is calculated as follows:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

Therefore, there are 40320 different ways in which the question with 8 answer choices can be displayed to each student in random order.

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A set of exactly n vectors in \(R^n\) does not necessarily have to be linearly independent or span \(R^n\). The linear independence and span of a set of vectors depend on the specific vectors in the set.

The linear independence of a set of vectors refers to the property that none of the vectors in the set can be written as a linear combination of the others. If a set of n vectors in \(R^n\) is linearly independent, it means that none of the vectors can be expressed as a combination of the remaining vectors in the set.

On the other hand, the span of a set of vectors refers to the set of all possible linear combinations of those vectors. If a set of n vectors in R^n spans \(R^n\), it means that any vector in \(R^n\) can be expressed as a linear combination of the given vectors.

Whether a set of n vectors in \(R^n\) is linearly independent or spans \(R^n\) depends on the specific vectors in the set. It is possible to have a set of n vectors that are linearly dependent and do not span \(R^n\). In this case, the vectors can be expressed as linear combinations of each other, and they do not cover all possible vectors in \(R^n\).

In order for a set of n vectors in \(R^n\) to be guaranteed to be linearly independent and span \(R^n\), the vectors must satisfy certain conditions. For example, if the set of vectors consists of n linearly independent vectors, then they will span \(R^n\).

However, this is not a necessary condition, and it is possible to have sets of n vectors that do not meet these criteria.

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The expression fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is simplified to give 8

The fraction: negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is written in words

Rewriting the fraction

-4( (2 - ∛8 * 6) / 5)

The equation is simplified as

= -4( (2 - ∛8 * 6) / 5)

= -4( (2 - 2 * 6) / 5)

= -4( (2 - 12) / 5)

= -4( (-10) / 5)

= -4( -2)

= 8

Option C, 8 is the correct answer

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The problem is related to calculating the probability that the station will not run out of gasoline before the order arrives. Given, the mean, µ = 930 gallons and the standard deviation, σ = 140 gallons. The inventory is 1,200 gallons which is also known as the reorder point. The waiting period to receive inventory is called lead time. The demand during the lead-time period for regular gasoline, as measured in gallons, follows the normal distribution.

Using the formula P(z > (R - µ)/σ) = P(z > (1200 - 930)/140) = P(z > 1.93), we get the value of P(z > 1.93) as 0.027 by using the standard normal distribution table.

Therefore, if P(z > (R - µ)/σ) = 0.027, then P(z ≤ (R - µ)/σ) = 0.973. Thus, the probability that the station will not run out of gasoline before the order arrives is 0.973 or 97.3%. Hence, the correct option is 97.3% or 0.973.

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This is because Excel sees the zeros as insignificant number and as a result drops them.Zero is an even number neither positive nor negative number or both positive or negative.

We can do this by converting a cell to a text cell. To add a zero, click into the cell infront of the number then press Apostrophe key(') and add so many zeros as you want.In this way you can add zero before number and Excel will treat as a text.

There are following to add 0 in the blank cell.

First select the empty cell.

Press F2 to enter a value in the active cell.

Type any number or text you want to enter.

In the last press Ctrl+Enter.

so, in this method you can add 0 to blank cell in the Excel.

Therefore,To display zero (0) values in a cells. Check the show zero in the cell that have zero value checkbox.

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Profit function in terms of x = 33x + 390.

What is a profit in business?

Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial

\(2x^{3} + 30x - 130\)

The cost, in dollars, of producing the skateboards can be modeled by

\(2x^{3} -3x - 520\)

Profit function = Revenue - cost

                         = \(2x^{3} + 30x - 130 - ( 2x^{3} - 3x - 520)\)

                          = 33x + 390

Therefore, profit function in terms of x = 33x + 390

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Answer:

nj +k = p

Step-by-step explanation:

n = (p-k)/j

Multiply each side by j

nj = (p-k)/j *j

nj = p-k

Add k to each side

nj +k p-k+k

nj +k = p

Cross multiply

Add k on both sides

Quantitative data can be further classified as continuous or nonsequential is false.

Can continuous quantitative data exist?

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Answer:

Let's define the high temperature as T.

We know that:

"four times T, was more than 2*T plus 66°C"

(i assume that the temperature is in °C)

We can write this inequality as:

4*T > 2*T + 66°C

Now we just need to solve this for T.

subtracting 2*T in both sides, we get:

4*T - 2*T > 2*T + 66°C - 2*T

2*T > 66°C

Now we can divide both sides by 2:

2*T/2 > 66°C/2

T > 33°C

So T was larger than 33°C

Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.

Then the range of possible temperatures is:

(33°C, ...)

Where we do not have an upper limit, so we could write this as:

(33°C, ∞°C)

(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)

Using cosine rule, the angle A In the triangle is

The angle is solved using cosine rule by the formula

cos A = (b² + c² - a²) ÷ 2bc

substituting the values

cos A = (30² + 71² - 89²) ÷ 2 x 30 x 71

cos A = -33/71

Taking the cos inverse

A = arc cos (-33 / 71 )

A = 117.697 degrees

A = 118 degrees to the nearest degree

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Answer: x= -5

Step-by-step explanation:

These steps are the same for solving all equations with one variable.

Answer:

30cm²

Step-by-step explanation:

Since there are two 10 centimeter sides, this can be shown as 10cm×2=20cm. Since there are two 5 centimeter sides, this can be shown as 5cm×2=10cm. 20cm+10cm=30cm².

Answer:

4

Step-by-step explanation:

Answer:

-4 for fish

+10 for birds

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bird is flying 10 feet above the water, a fish is swimming 4 feet under the water. What number represents the location of the fish on the number line. Iready lesson

A number line can be regarded as a straight line having a number with equal interval with both positive and negative sides

The number that represents the location of the fish on the number line is -4 while that of bird is +10

CHECK THE ATTACHMENT FOR THE NUMBER LINE

Answer: it should be -4

Step-by-step explanation: Hope this help

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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This value represents the greatest distance between the particle and the origin during the time interval [0, 3].

To find the greatest distance between the particle and the origin during the time interval [0, 3], we need to find the position function of the particle, differentiate it to find the velocity function and analyze the critical points.

Let x(t) be the position function of the particle. Unfortunately, you haven't provided the specific position function, so I will use a generic one: x(t) = at^3 + bt^2 + ct + d. You'll need to substitute your given function here.

Step 1: Find the velocity function by differentiating the position function with respect to time:
v(t) = dx(t)/dt = 3at^2 + 2bt + c

Step 2: Find the critical points by setting the velocity function equal to zero and solving for t:
0 = 3at^2 + 2bt + c      
   
Step 3: Analyze the critical points and endpoints of the given interval [0, 3] by plugging them into the position function x(t):
x(0), x(t1), x(t2), and x(3) (where t1 and t2 are the critical points found in step 2)

Step 4: Determine which of these values corresponds to the greatest distance from the origin. Remember that distance is always positive, so take the absolute value of the positions if necessary.

The answer will be the largest absolute value among the positions x(0), x(t1), x(t2), and x(3). This value represents the greatest distance between the particle and the origin during the time interval [0, 3].

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The value of "a" that makes the matrix not invertible is a = 1. For any other value of "a", the matrix is invertible.

To determine the values of "a" that make the given matrix not invertible, we can perform row reduction on the matrix and examine the resulting row-echelon form or reduced row-echelon form.

Specifically, we are looking for cases where the matrix contains a row of zeros or has a row where all entries are zero.

Let's denote the provided matrix as A:

A = [a, 1, 1; 1, a, 1; 1, 1, a]

To perform row reduction, we can use elementary row operations to transform the matrix into row-echelon form or reduced row-echelon form.

Let's start with row reduction:

1. Swap rows R1 and R2 (if necessary) to make the first entry in the first column non-zero:

  R1 <-> R2 (only necessary if a = 1)

2. Subtract R1 from R2 and R3:

  R2 - R1 -> R2

  R3 - R1 -> R3

The resulting matrix after these operations is:

[1, a, 1; 0, a - 1, 0; 0, 0, a - 1]

Now, let's analyze the possible values of "a" based on this row-echelon form:

1. Case 1: If a - 1 = 0, then a = 1:

  In this case, the matrix becomes:

  [1, 1, 1; 0, 0, 0; 0, 0, 0]

  We have a row of zeros, and the matrix is not invertible.

2. Case 2: If a - 1 ≠ 0, then a ≠ 1:

  In this case, the matrix becomes:

  [1, a, 1; 0, a - 1, 0; 0, 0, a - 1]

  We do not have any rows of zeros, and the matrix is invertible.

Hence we can conclude that:

- If a = 1, the matrix is not invertible.

- For any other value of "a", the matrix is invertible.

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The expression after simplifying with the first rule of radicals is 9√5.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

Area of a square = side² _______(1)

Area = 405 square feet _______(2)

From (1) and (2) we get,

405 square feet = Side²

Side = √405 feet

[ 405 = 81 x 5 ]

Side = √(81 x 5)

[ 9² = 81 ]

Side = 9√5

Thus,

The side length is 9√5 feet.

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The information in the venn diagram have the following solution:

a) A ∪ B = {8,14,17,16,9,15}

b) A ∩ B = {14,17}

c) probability that one of the numbers chosen at random is A' = 0.7

Venn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.

From the venn diagram we have that:

A = {8,14,17}

B = {14,17,16,9,15

A' = {13,10,11,12,16,9,15}

U = {13,10,11,12,8,14,17,16,9,15}

so;

A ∪ B = {8,14,17,16,9,15}

A ∩ B = {14,17}

A' = 7

U = 10

probability that one of the numbers chosen at random is A' = 7/10 or 0.7

Therefore, the information from the venn diagram have the following solutions for:

a) A ∪ B = {8,14,17,16,9,15}

b) A ∩ B = {14,17}

c) probability that one of the numbers chosen at random is A' = 0.7

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Answer:

bugggaaaa

Step-by-step explanation:

bugggggaaaaa

Answer:

sin 33 and cos 57

Step-by-step explanation:

Sine of an angle equals the cosine of its complement.

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

Answer:

1152000.048

Step-by-step explanation:

124+124=248 360-248=112 112\2=56

Answer: its 56 i took the quiz

Step-by-step explanation: