What is the least amount of integers you must pick in order to be sure that at least two of them have the same remainder when divided by 15

Answer:

∠ 1 = 60°

Step-by-step explanation:

the angle above 130° and 130° are a linear pair and sum to 180° , then

angle above + 130° = 180° ( subtract 130° from both sides )

angle above = 50°

the sum of the angles in the triangle enclosed by the 2 transversals and line n = 180° , that is

∠ 1 + 50° + 70° = 180°

∠ 1 + 120° = 180° ( subtract 120° from both sides )

∠ 1 = 60°

10L  fuel does Asma's car use per 100 km of highway driving

In this question, we have to use the unitary method

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What is a unitary in math?

a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.

So from the unitary method, we can solve it

12 L of gasoline per 100 km

so for 5/6

12 L * 5/6

= 10 L

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Hey there! :)

Domain is the set of all x-values while Range is the set of all y-values!

When we want to find the domain of functiom through graph, we can do by finding the left point first and then the right point in x-plane or horizontal line.

The left point is (-4,0) and the right point is (4,0)

Since both points are opened, we use ( and ) instead.

Hence, the domain is (-4,4)

Next is finding range. Range is similar to Domain but y-value. You can find the range by finding the minimum point first then maximum point in y-plane or vertical line.

From the graph, minimum point is (-1,-3) and maximum point is (-4,0),(1,0) and (4,0)

Remember that we use the y-coordinate point for range! The minimum point and maximum point (1,0) both are closed dot. Since they are closed dot, we use [ or ].

Therefore, the range is [-3,0]

In conclusion, the answer is first choice.

Let me know if you have any questions!

Topic: Functions / Domain & Range

Answer: =−0.889

Step-by-step explanation:

math

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Answer:

The greatest length possible for each plank is 6m.

Step-by-step explanation:

The given length of three pieces of timber are 54m, 36m and 24m respectively.

To find out the length of greatest plank, we need to find the H.C.F of the three lengths.

Using Prime factorisation,

54 = 2×3×3×3

36 = 2×2×3×3

24 = 2×2×2×3

Highest Common Factor of 54, 36 and 24 is 6.

So, the greatest length possible for each piece is 6m.

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To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer: ≈ 185.73009

Step-by-step explanation:

area of square: \(length^{2}\)

area of circle: \(\frac{radius^{2} * \pi }{y}\)

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

\(15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}\) ≈ 185.73009

hope it helps!

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Projab is the projection of vector a onto vector b. It is a vector that is perpendicular to b and has the same magnitude as a, and it is the vector that is closest to a in the direction of b.

In R2, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the line containing b.

In R3, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the plane containing b.

The equation for projab is projab = (a.b/|b|^2)b, where a.b is the dot product of a and b, and |b| is the magnitude of b.

The best estimator's error vector, when seen in terms of mean square errors, is orthogonal to all other feasible estimators, according to the orthogonality principle. The orthogonality principle can be expressed in a variety of ways, but it is most frequently used to describe linear estimators.

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Answer:

right

Step-by-step explanation:

draw a line and right a number from 1 to 10

Answer:

yes

Step-by-step explanation:

16oz is 1 pound so if we divide 16 by 2 we get 8 add back on the oz and that's your answer

for further help contact me or a verified teacher

Answer:

140

Step-by-step explanation:

180 - 120 = 60 (angle3)

180-100 = 80 (angle 2)

180 - (60 + 80 ) = 40 (angle 1)

180- 40 = 140

Answer:

answer b.

Step-by-step explanation:

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

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Answer:

d. 50

Step-by-step explanation:

5² + 5² = 50

I hope this helps!

The require degenerative circle is (x - 5)² + (y - 1)² = 0. Option C is correct.

Given that,  
The equation for the degenerative circle is to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.

Thus, the required degenerative circle is (x - 5)² + (y - 1)² = 0.

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The sequence aₙ = 8n / (4n + 1) is convergent, and its limit is 2.

To determine whether the sequence aₙ = 8n / (4n + 1) is convergent, we can examine its limit as n approaches infinity. Divide both the numerator and the denominator by the highest power of n, in this case, n:

aₙ = (8n / n) / ((4n / n) + (1 / n))

aₙ = (8 / 4 + 1 / n)

As n approaches infinity, 1/n approaches 0. Thus, we have:

aₙ = 8 / 4

aₙ = 2

Since the limit of the sequence exists and is equal to 2, we can conclude that the sequence is convergent.

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Answer: 43 + x = 90

Step-by-step explanation:

43 + x = 90

x = 90-43

x = 47

By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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The final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.

The given Java code is a basic template for implementing a cost-effective ticket buying strategy at an amusement park. It takes input for the number of adults and children visiting the park and suggests the most suitable ticket option.

The flowchart logic is as follows:

1. If the total number of adults and children is equal to or greater than 10, the group rate is the most cost-effective option, and the code directs you to buy the group pass.

2. If there are at least 2 adults, but not enough visitors for the group rate, the code suggests buying only individual tickets.

3. If there are fewer than 2 adults, the code checks if there are at least 3 children. If so, it suggests buying the family pass.

4. If there are fewer than 2 adults and fewer than 3 children, the code suggests buying only individual tickets.

Based on the given flowchart and Java code, the cost-effective ticket buying strategy would be as follows:

• If the total number of adults and children is 10 or more, buy the group pass at $7 per person.

• If there are at least 2 adults, but fewer than 10 visitors, buy only individual tickets at $9 per adult and $7 per child.

• If there are fewer than 2 adults and at least 3 children, buy the family pass at $35.

• If there are fewer than 2 adults and fewer than 3 children, buy only individual tickets at $9 per adult and $7 per child.

In conclusion, the final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.

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The value of x for the given parallelogram is 4.8 cm.

According to the question,

We have the following information:

We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.

(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)

We know that the following formula is used to find the area of the parallelogram:

Area of parallelogram = Base*height

x*2.5 = 12

x = 12/2.5

x = 4.8 cm

Hence, the value of x is 4.8 cm.

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Answer:

The incenter

Step-by-step explanation:

The three angle bisectors of the angles of a triangle meet in a single point, called the incenter

Answer:

x(x+1)=54,Quadratic equation

ANSWER:

STEP-BY-STEP EXPLANATION:

We must interpret each sentence mathematically, just like this:

Less then would be a subtract

Product would be a multiplication

No more than would be equal or less than

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Step-by-step explanation:

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The conditions on the positive numbers a, b, c, and d that will guarantee that every difference at every step in the expansion (a-b)(c-d) results in a positive number are:

1. a > b
2. c > d

This will ensure that the difference between a and b, as well as the difference between c and d, are both positive numbers. Therefore, when these two differences are multiplied together in the expansion (a-b)(c-d), the result will be a positive number.

For example, if a=5, b=2, c=8, and d=3, then the expansion (a-b)(c-d) will result in a positive number:

(5-2)(8-3) = (3)(5) = 15

As long as the conditions a > b and c > d are met, the expansion (a-b)(c-d) will result in a positive number.

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6. C.

7. B.

8. B.

9. B.

10. C

The volume of the solid formed by revolving the region bounded by the curve y = sin(x) and the x-axis from x = 0 to x = π about the y-axis is (8π/3) cubic units.

To find the volume of the solid, we can use the method of cylindrical shells. When the region bounded by the curve y = sin(x) and the x-axis from x = 0 to x = π is revolved about the y-axis, it forms a solid with a cylindrical shape. The radius of each cylindrical shell is given by the value of y = sin(x), and the height of each shell is dx, where dx represents an infinitesimally small width along the x-axis.

The volume of each cylindrical shell is given by the formula V = 2πxy dx, where x represents the distance from the y-axis to the curve y = sin(x). Substituting the value of x as sin^(-1)(y) and integrating from y = 0 to y = 1 (since sin(x) ranges from 0 to 1 in the given interval), we get:

V = ∫(0 to 1) 2π(sin^(-1)(y))y dy

By evaluating this integral, we find that the volume is (8π/3) cubic units. Therefore, the volume of the solid formed by revolving the given region about the y-axis is (8π/3) cubic units.

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