5
(-1,-5)
S
(1, 3)
5

Answer:

Below

Step-by-step explanation:

Formula for period of a pendulum

period = T = 2 pi \(\sqrt{L/g}\)          Divide both side of the equation by 2 pi  THEN square both sides to get

(T/ (2pi) ) ^2   = L/g    now multiply both sides by 'g'

g * ( T / (2 pi) )^2 = L          Done.

Answer:

90 degrees

Step-by-step explanation:

please say thanks

Answer:

-4

Step-by-step explanation:

4+(-4) =

4-4 =

0

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

A

Step-by-step explanation:

Because it is not transforming one shape to another or its size.

Answer:

216°..........................

The dimensions listed above are thus neither exact nor precise.

In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.

It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.

The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.

The dimensions listed above are thus neither exact nor precise.

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Answer:

1. Less than 90 degrees = acute angle

2. Right angle

3. Greater than 90 degrees = obtuse angle

4. An angle is a figure formed by two rays with a common endpoint.

5. Vertex

6. Congruent angles

7. Complementary angles

8. Supplementary angles

9. Adjacent angles

10. Vertical angles

Step-by-step explanation:

Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

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Answer: 18

Step-by-step explanation:

\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.

Using the segment addition postulate, \(GK=9\).

Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.

Using the segment addition postulate again, \(GM=9+9=18\).

Answer:

B. A car traveling at 25 km/h

Step-by-step explanation:

Even though it is moving slower than a motorcycle it is heavier. It also has more kinetic energy than a dump truck because in this scenario it is not moving at all.

We can see here that the Pythagorean theorem can help one determine whether the roped off area is in the shape of a right triangle because the converse of Pythagorean Theorem is actually used to prove that a triangle is a right triangle.

Let's understand the definition and meaning of  Pythagorean Theorem.  Pythagorean Theorem is actually seen as the fundamental concept that is used to describe the relationship that exists  between all the sides of a right-angled triangle.

The theorem actually states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.

When we don't know that a triangle is a right-angle triangle, we use the converse to prove it.

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In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

1188

Step-by-step explanation:

i checked it in an RSM portal, it is correct

The table that correctly represents the ratio is

Students           Adults

5                         2

15                       6

25                      10

(option d).

Ratios are a way of comparing two quantities by expressing their relationship in a simplified form. They are commonly used in various real-life situations, such as determining the student to adult ratio on a field trip. In this case, the ratio of students to adults is given as 5 to 2, which means that for every 5 students, there are 2 adults present on the trip.

To represent this ratio in a table, we need to choose values that are in the same proportion as the given ratio. For example, if we have 10 students, we need to have 4 adults (since 5 to 2 is equivalent to 10 to 4). Similarly, if we have 15 students, we need to have 6 adults.

Looking at the given tables, we can see that only option D correctly represents the ratio of 5 to 2. In this table, for every 5 students, there are 2 adults, and the other values in the table are also in the same proportion as the ratio.

Therefore, option D is the correct table that represents the ratio of students to adults on the field trip.

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Answer:

84

Step-by-step explanation:

Since there will be 28 people, and each of them will drink 3 glasses, you just multiply the number of people times the number of glasses they will drink each, so 28*3. The result is 84.

I hope this helped! :D

Lee should need to make 84 glasses of fruit if is planning an event for 28 people.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let Lee needs to make x number of glasses of fruit.

From the question we can frame a linear equation in one variable:

x/3 = 28

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After cross multiplication:

x = 28×3

x = 84 glasses

Thus, Lee should need to make 84 glasses of fruit if is planning an event for 28 people.

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Answer:

112

Step-by-step explanation:

Original Score equals 14 right?

If chase doubles his original Score daily it will be

14*2 (Tuesday)=28

28×2 (Wednesday)=56

56×2 (Thursday)=112

Therefore,

Chase's Final score Equals 112

The number of points did he score on Thursday is 112.

Given that,

Based on the above information, the calculation is as follows:

On Monday = 14

On Tuesday = (14) (2) = 28

On Wednesday = (28) (2) = 56

On Thursday = (56) (2) = 112

Therefore, we can conclude that the number of points did he score on Thursday is 112.

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To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

20 +(x+15.5)

Step-by-step explanation:

Answer: 8/9 divided by 4 is 2/9.

Step-by-step explanation: If you want to divide fractions, first you need to find the reciprocal of the second term. The reciprocal is when you swap the numerator and the denominator. The reciprocal of 4 is 1/4. Then, you multiply 8/9 is 1/4. 8 x 1 is 8, and 9 x 4 is 36. The answer is 8/36, which you can simplify into 2/9.

The value of the expression (8/9)÷4 is (8/9)×1/4.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, A fraction 8/9 and it is being divided by 4.

∴ (8/9)÷4.

= (8/9)×1/4.  (think of flipping the divisor to make it a multiplier)

= 32/9

Or

3 whole 5/9.

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Answer:

It is A -∞ < x < ∞

m Step-by-step explanation: I hope i am not late.