What type of number can be written as a fraction p/q,where p and q are in integers and q is not equal to zero

Answer:

80 for the big one

30 for the small one

Step-by-step explanation:

A statement of an order relationship between two numbers or algebraic expressions is known as an inequality in mathematics. It can be greater than, greater than or equal to, less than, or less than or equal to.

Using the inequality symbol, a mathematical statement known as an inequality depicts the relationship between two expressions. An inequality symbol denotes that the terms on each side are not equal.

It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities are those where the relationship between two algebraic expressions is described by the inequality symbols.

According to the definition, a relationship is considered to be an inequality if it involves two real numbers or algebraic expressions and uses the symbols “>”, “<”, “≥”, “≤”.

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Answer:

42

Step-by-step explanation:

5 * 4 + (6 / [ 2 + 1 ] ) *11

5 * 4 +2 * 11

20 +2 * 11

20+ 22

42

Answer:

Step-by-step explanation:

5 x 4 + 6/3 x 11

20 + 2 x 11

20 + 22

42

Evaluating the (2.7)³ - (1.6)³ - (1.1)³ using the suitable identity is given by the term 26.19.

The sum of cubes (of two integers) formula is what is known as the a3 + b3 formula. Without computing the two cubes, the total may be calculated using the a cube + b cube formula. The binomials of cubes are factorised using it as well.

Let a = 2.7, b = 1.6, c = 1.1

We see that,

a + b + c = 2.7 + 1.6 + 1.1 = 5.4

Now as we know that,

If a+b+c =  5.4

then using the identity:

a³ - b³ - c³ = ( a+ b+ c ) (a² + b² + c² - ab - bc - ca) + 3 abc

so,

a³ - b³ - c³ = 5.4(2.7² + 1.6² + 1.1² - 4.32 - 1.76 - 2.97) + 14.256

= 5.4(7.29 + 2.56 + 1.41 - 4.32 - 1.76 - 2.97) + 14.256

a³ - b³ - c³ = 26.19

Therefore,  (2.7)³ - (1.6)³ - (1.1)³ is  26.19

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Answer:

1/10

Step-by-step explanation:

2/20 = 1/10

Answer:

The answer is 1/10

Step-by-step explanation:

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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The surface area of the triangular pyramid shown is 94.6 in²

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of the regular pyramid is given as:

Surface area = 3(0.5 * 4.3 * 13) + (0.5 * 4.3 * 5) = 94.6 in²

The surface area of the triangular pyramid shown is 94.6 in²

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Answer:

-36, 4

Step-by-step explanation:

r/6 < -6

Multiply both sides by 6

r < -36

4r + 2 > 18

Subtract 2 from both sides

4r > 16

Divide both sides by 4

r > 4

To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.

Here is the algorithm:

Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.

vol(v) = -∞ for all v in G.V

vol(s) = 0

Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.

While Q is not empty, do the following:

a. Extract the vertex u with the minimum volume from Q.

b. For each neighbor v of u:

Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.

If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.

After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.

This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.

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Answer:

Step-by-step explanation:

diameter = 2r  

where r = 9.8

plugin value of r = 9.8 into the formula:

diameter = 2(9.8)

               = 19.6 units

The length of the diameter of the circle is option D 19.6 units.

Diameter is defined as the line from one point in the circle to the other point through the center of the circle.

WE know that the diameter = 2r  

where r = 9.8

Substitute value of r = 9.8 into the formula:

The diameter = 2(9.8)

The diameter = 19.6 units

Hence, the length of the diameter of the circle is option D 19.6 units.

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Answer:

y = -5x + 4.

Step-by-step explanation:

Slope-intercept formula: y = mx (m is slope) + B (y-intercept)

Plug in it:

y = 5x + 4.

We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

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Answer:

Step-by-step explanation:

y = -2x - 7

-y = 2x - 13  

y = -2x + 13

parallel

The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

In the question ,

it is given that ,

The random variable X is said to be normally distributed  ,

the mean is given as , μ = 70 , and

standard deviation of normal distribution is  (σ) = 10

probability that X is between 72 and 84 is written as P(72 < X < 84)

= P((72 - 70)/10 \(<\) Z \(<\) (84 - 70)/10)

= P(0.2 < Z < 1.4)

= P(0 \(<\) Z \(<\) 1.4) – P(0 \(<\) Z \(<\) 0.2)

From the z table , we get the values as

= 0.4192 – 0.0793

= 0.3399

≈ 0.340

Therefore , The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

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Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helped, and please mark as brainliest! <3

Answer:

Step-by-step explanation:

In ΔJKL shown above, what is the length of segment JL ?

(1) JK = 10

(2) KL = 5

Answer:

25% off means the cost to the customer will be 225

25% of means take 25% * 300 (which is 75) and that is the going price.

Step-by-step explanation:

25% off 300 means that you take 300, and find out what 25% of that is.

25/100 * 300 = 75

Now that means that the customer gets to take 25% off the selling price which is 300 - 75 = 225.

The new price is $225.00

25% of 300 has an entirely different meaning. It means that "what is 25% times 300"

That's the same 75 dollars. Only this time, that's the answer. Of means multiply.

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Answer:

Step-by-step explanation:

i guess converges

The angle between the (1,1,2) and (0,1,1) lattice directions in a cubic system is approximately 30 degrees.

To find the angle between the (1,1,2) and (0,1,1) lattice directions in a cubic system, we can use the dot product formula between two vectors.

The angle between two vectors can be determined using the dot product formula and the magnitudes of the vectors. We can calculate the dot product of the two vectors and use it to find the angle.

Calculate the dot product: The dot product of two vectors A and B is given by A · B = |A||B|cos(θ), where θ is the angle between the vectors.

Calculate the magnitudes: |(1,1,2)| = √(1^2 + 1^2 + 2^2) = √6 and |(0,1,1)| = √(0^2 + 1^2 + 1^2) = √2.

Calculate the dot product: (1,1,2) · (0,1,1) = 0 + 1 + 2 = 3.

Substitute the values into the dot product formula: 3 = √6 √2 cos(θ).

Solve for cos(θ): cos(θ) = 3 / (√6 √2) = 3 / (√12) = √3 / 2.

Find the angle θ: Using the inverse cosine function, θ = arccos(√3 / 2).

Evaluate the angle: θ ≈ 30°.

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The answer is 7

A tip you can do is get the sum subtract the number you do have so you would get your X value. So 18-11=7

Answer: x = 7

------------------------------

x + 11 = 18

x = 18 - 11

x = 7

\( \\ \)

I hope to help :p

Recall the following information:

1) In a plane, two lines that are parallel exist on the same axis.

2) Hence, any line which is perpendicular to one of two parallel lines is also perpendicular to the other.

3) This concept is evident in the model of ladders, where each of the vertical lines is perpendicular to the parallel step lines(horizontal lines).

With this information, it can be said that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

T

Step-by-step explanation:

5(r + 9) - 2(1 - r) = 1

5r + 45 - 2 + 2r = 1

7r + 43 = 1

7r = -42

r = -6.

Answer:

r = -6

Step-by-step explanation:

Given equation,

→ 5(r + 9) - 2(1 - r) = 1

Now the value of r will be,

→ 5(r + 9) - 2(1 - r) = 1

→ 5r + 45 - 2 + 2r = 1

→ 5r + 2r + 43 = 1

→ 7r = 1 - 43

→ 7r = -42

→ r = -42/7

→ [ r = -6 ]

Hence, the value of r is -6.

The required order of solution for the given system equation,
1 No solution
2 Many solutions
3 One solution
4 No solution

Given a system of equations,
(1)

y = 5x + 7
3y -15x = 18

Since the slope of the equations are equal so this equation has no solution

(2)

x - 2y = 6
3x - 6y = 18
Since the slope of the equations is equal and also has an equal intercept so this equation has many solutions.

(3)

y=3x+6
y = -1/3x - 4
The slope of the equation of this line is the negative reciprocal of the other implying these lines are perpendicular to each other and have one solution.

(4)
y = 2/3x -1
y = 2/3x -2
Since the slope of the equations is equal so this equation has no solution.

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

Hi there your answer will be

Zero since when you are dividing with zero your answer will always be zero

NO MATTER WHAT IS YOUR VARIABLE

Step-by-step explanation:

EXAMPLE IF I DID A/B DIVIDE BY 0 MY ANSWER WILL ALWAYS BE ZERO

SO YOUR ANSWER TO NUMBER 6 IS ZERO/ UNDEFINED DEPENDS ON WHAT YOUR TEACHER WANTS.

1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

Fixed costs are outlays that don't change no matter how much is produced or sold. Rent, salary, and insurance are a few examples of fixed costs. Contrarily, variable costs are expenses that vary according to the volume of production or sales. The costs of labour, commissions, and raw materials are a few examples of variable costs. Because they must be paid regardless of the volume of production or sales, fixed expenses are frequently referred to as "sunk costs," in contrast to variable costs, which are closely related to income and are simpler to control.

1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

2. Let us suppose number of months = X.

Thus,

For Operators A and B:

120 + 20X = 40 + 25X

5X = 16

X = 3.2

For Operators B and C:

40 + 25X = 10 + 30X

X = 6

Hence, Operator C is the best option for someone who intends to keep the phone for less than 3.2 months. Operator B is the ideal option for someone who intends to keep the phone for 3.2 to 6 months. Operator A is the greatest option for someone who intends to keep the phone for more than six months.

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1. Total revenue formula: Rx = 10,000x^(3/2)/(2+√x). 2. Marginal revenue formula: MR(x) = R′(x). 3. MR(9) calculation.


To find the marginal revenue (MR) and evaluate MR(9), we first need to understand the total revenue formula and how to calculate the derivative of this formula.

1. Total revenue formula (Rx):
The total monthly revenue from the sale of x automobiles of a certain model is given by:
Rx = 10,000x^(3/2)/(2+√x)
2. Marginal revenue formula (MR):
The marginal revenue (MR) is calculated by taking the derivative of the total revenue formula, Rx.
3. MR(9) calculation:
To find MR(9), we substitute x = 9 into the derivative formula of Rx.

Now, let's calculate the MR(9) step by step:
Step 1: Find the derivative of Rx:
To find the derivative, we need to apply the power rule and chain rule.
The derivative of Rx with respect to x is given by:
R′(x) = (d/dx) [10,000x^(3/2)/(2+√x)]
Step 2: Simplify the derivative:
To simplify the derivative, we can use the quotient rule and the power rule.
R′(x) = [10,000 * ((2+√x) * (3/2) * x^(1/2)) - (10,000 * x^(3/2) * (1/2) * (√x))] / (2+√x)^2
Simplifying further:
R′(x) = [15,000x^(3/2) + 5,000x - 10,000x^(3/2)√x] / (2+√x)^2
Step 3: Calculate MR(9):
Substitute x = 9 into the derivative formula.
MR(9) = [15,000(9)^(3/2) + 5,000(9) - 10,000(9)^(3/2)√9] / (2+√9)^2
Simplifying:
MR(9) = [15,000(27) + 5,000(9) - 10,000(27)√9] / (2+3)^2
MR(9) = [405,000 + 45,000 - 270,000] / 25
MR(9) = 180,000 / 25
MR(9) = 7200
Therefore, MR(9) = 7200.

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